big ideas math answers algebra 2

Work with a partner. a. I graduated from the University of Iowa … Question 6. Which combinations describe the transformation from the graph of f to the graph of g? The skill alignments are provided by IXL and are not affiliated with, sponsored by, reviewed, approved or endorsed by Big Ideas Learning or any other third party. Graph the function. Answer: Question 28. Write a function that models the second jump. Question 23. HOW DO YOU SEE IT? focus: (0, \(\frac{5}{4}\)) f(x) = 8x2 – 6; horizontal stretch by a factor of 2 and a translation 2 units up, followed by a reflection in the y-axis Find the x-intercept of the graph of the linear equation. View step-by-step homework solutions for your homework. Latest News from. Question 11. Gym A charges $10 per month plus an initiation fee of $100. IXL Information. Modeling with a Graphing Calculator Answer: Question 48. Rewrite the functions f and g in standard form to justify your answer. What type of symmetry does the graph of f(x) = a(x – h)2 + k have and how can you describe this symmetry? Chapter 1: Linear Functions. Question 6. Interpret the meaning of the vertex in this situation. A parabola has an axis of symmetry y= 3 and passes through the point (2, 1). Then determine the maximum possible area of the figure. Answer: Question 31. Identifying Graphs of Quadratic Functions TVGuide.com. e. g(x) = 2(x – 2)2 Answer: Question 49. The function g(x) = \(\frac{1}{2}\)∣x − 4 ∣ + 4 is a combination of transformations of f(x) = | x|. The table shows the profits (in dollars) when x students attend the dance. Answer: Question 14. What is the maximum torque? g(x) = -2(x + 1)2 – 2 Additional Resources Let the graph of g be a translation 4 units left followed by a horizontal shrink by a factor of \(\frac{1}{3}\) of the graph of f(x) = x2 + x. Question 1. b. Answer: Question 32. We cover textbooks from publishers such as Pearson, McGraw Hill, Big Ideas Learning, CPM, and Hougton Mifflin Harcourt. PROBLEM SOLVING The latus rectum of a parabola is the line segment that is parallel to the directrix, passes through the focus, and has endpoints that lie on the parabola. Question 5. Explain. The height of the ball increases until it reaches a maximum height of 8 yards, 20 yards away from the player. A. y = 2x2 + 2x + 2 F. (9, 46). Answer: Question 9. Answer: In Exercises 17–20, write an equation of the parabola in vertex form or intercept form. directrix: y = 6 Answer: Question 63. (Skills Review Handbook). How does it relate to the vertex? E. (6, -1) c. The optimal location for the receiver of the satellite dish is at a point called the focus of the parabola. MODELING WITH MATHEMATICS The function h(x) = -0.03(x – 14)2 + 6 models the jump of a red kangaroo, where x is the horizontal distance traveled (in feet) and h(x) is the height (in feet). Khan Academy Information. d. f(x) = \(\frac{1}{2}\)(x + 2)2 Label the x-intercept(s), vertex, and axis of symmetry. which approximates the yearly profits for a company, where P(t) is the profit in year t. Answer: Question 72. Answer: Question 86. HOW DO YOU SEE IT? Write an equation of the parabola with vertex at (0, 0) and the given directrix or focus. directrix: y = -6 What is the equation of this line? WHAT IF? Answer: Question 74. Write an equation of the parabola with the given characteristics. C. y = 2(x – 0.5)2 – 4.5 B. y = -3x2 – 6x + 2 About Ms. Stehno. Question 4. PROBLEM SOLVING The graph shows the number y of students absent from school due to the flu each day x. a. vertex: (0, 0) Graph the function. d. 0 ≤ x ≤ 4 Find another point that lies on the graph of the parabola. g(x) = -2(x – 1)2 + 2 g(x) = -3x2 – 6x + 5 Question 4. This document includes the IXL® skill alignments to Big Ideas Learning's Big Ideas Math 2019 Common Core Curriculum. To unquestionable your curiosity, we manage to pay for the favorite big ideas math answers algebra 2 sticker album as the unconventional today. Do the balls hit the ground at the same time? Determine the location of the focus. In Exercises 3–12, describe the transformation of f(x) = x2 represented by g. Then graph each function. Write an equation of the parabola that passes through the point (-1, 2) and has vertex (4, -9). Use function notation to write the transformed function. Graph the equation. Hi Rebecca, I saw your post on “The Best Algebra book in the World Answer key for big ideas math algebra 2. Draw the reflected rays so that they intersect the y-axis. VOCABULARY Identify the vertex of the parabola given by f(x) = (x + 2)2 – 4. Answer: Question 50. in Mathematics in 2010, and graduated from the University of Missouri with my Masters in Technology in Schools in 2014. Question 13. Question 9. Answer: Question 6. Describe the transformation this change represents and how it affects your decision in part (b). B. y = x2 – 5 Standard Equations of a Parabola with Vertex at (h, k), p. 70, Section 2.4 vertex: (0, 0) The table shows the safe working loads S (in pounds) for ropes with circumference C (in inches). a. g(x) = 2(x + 1)2 + 2 For hot-air popping, what moisture content maximizes popping volume? Home Articles big ideas math algebra 2 assessment book answers pdf Articles big ideas math algebra 2 assessment book answers pdf Gamespot. Explain. B. y = 2(x + 0.5)2 – 4.5 What does f(\(\frac{p+q}{2}\)) represent in the graph? d. When does the wrench hit the ground? Find the distance between the two points. b. a. x-intercepts of -16 and -2; passes through (-18, 72) Get it done faster — all your solutions on one page, free of ads. Question 4. Write an equation for the path of the baseball. Answer: In Exercises 3–8, write an equation of the parabola in vertex form. Answer: Question 80. Write an equation for the safe working load for a rope. Answer: Question 32. D. y = 2(x + 2)(x – 1) Answer: Question 35. Answer: Question 45. b. b. Question 61. vertex: (2, 6). a. D. y = -5x2 + 10x + 23 Write an equation that represents the cross section of the dish shown with its vertex at (0, 0). NOW is the time to make today the first day of the rest of your life. Explain. b. The same object dropped from the same height on the moon is modeled by g(t) = –\(\frac{8}{3}\)t2 + 10. D. (6, 19) Answer: Question 24. c. Graph the quadratic function on the same screen as the scatter plot to verify that it fits the data. Sophia Information. MODELING WITH MATHEMATICS The function f(t) = -16t2 + 10 models the height (in feet) of an object t seconds after it is dropped from a height of 10 feet on Earth. Big Ideas Math Algebra 2 Answer Key - math = love algebra 2 interactive notebook pages for unit 1 this year i have resolved to do a much better job at the interactive notebook in algebra 2 than last year last year we had 12 students in my entire school who were enrolled in algebra 2 . Identify the focus, directrix, and axis of symmetry of the parabola. Tech Republic. focus: (0, -2) What do they have in common? Therefore, I am sick. Answer: Question 13. Answer: Question 12. Answer: Question 12. Question 3. Can the mouse jump over a fence that is 3 feet high? a. (Skills Review Handbook). If not, which ball hits the ground first? Find the minimum value or maximum value of Explain your reasoning. h(x) = x2 + 4x + 3 Answer: Question 32. WRITING Explain how to determine whether a quadratic function will have a minimum value or a maximum value. Let the graph of g be a horizontal shrink by a factor of \(\frac{2}{3}\), followed by a translation 5 units left and 2 units down of the graph of f(x) = x2. Write an equation that represents the cross section of the antenna with its vertex at (0, 0) and its focus 10 feet to the right of the vertex. ANALYZING EQUATIONS Which of the following equations represent the parabola? Intro to Computer Science. Answer: In Exercises 31–34, write a rule for g described by the transformations of the graph of f. Then identify the vertex. directrix, p. 68, Section 2.3 vertex: (0, 0) c. Use the model in part (b) to predict when the sponge will hit the ground. Explain. Use the Distance Formula to write an equation of the parabola with focus F(0, -3) and directrix y = 3. Your school decides to sell tickets to a dance in the school cafeteria to raise money. f(x) = 3(x + 2)2 + 1 b. What do they represent? ” I am looking for a book that will simply explain each step in an algebra function. Identify the directrix of each parabola. Answer: Question 30. The parent function of the quadratic family is f(x) = x2. Writing Quadratic Equations, p. 76 y = –\(\frac{1}{4}\)(x + 2)2 + 1 d. Show that the vertex form f(x) = \(\frac{1}{2}\)(x – 2)2 – 4 is equivalent to the function given in part (a). Big Ideas Math Algebra 2 Answers Chapter 2 Quadratic Functions. A passenger on a stranded lifeboat shoots a distress flare into the air. Question 4. a. Answer: In Exercises 25–28, write an equation of the parabola shown. The table shows the heights h (in feet) of a wrench t seconds after it has been dropped from a building under construction. Big Ideas MATH: A Common Core Curriculum for Middle School and High School Mathematics Written by Ron Larson and Laurie Boswell. Big Ideas Math: Algebra 2. If so, write the equation of the axis of symmetry. (2, 11) What is the width of the field? Unlock your Big Ideas Math Algebra 2: A Bridge to Success PDF (Profound Dynamic Fulfillment) today. focus: (0, -7) g(x) = \(\frac{1}{3}\)x2 f(x) = \(\frac{3}{2}\)x2 + 6x + 4 x = –\(\frac{1}{20}\)y2 If a < 0, how does your answer in part (a) change? g(x) = \(\frac{1}{2}\)(x – 5)(x + 1), Question 13. NEXT. Answer: Question 22. y = \(\frac{1}{8}\)(x – 3)2 + 2 Answer: Question 43. IXL provides skill alignments as a service to teachers, students, and parents. Draw three possible designs for the garden. THOUGHT PROVOKING a. For hot-oil popping, what moisture content maximizes popping volume? Slader Big Ideas Math Algebra 2 Texas . Question 2. Slader Big Ideas Math Algebra 2 Texas Slader Big Ideas Math Algebra 2 Texas Edition Slader Big Ideas Math Algebra 2 Answers Articles & Shopping. Sunfire is a machine with a parabolic cross section used to collect solar energy. Question 6. Estimate the year in which the company made the least profit. What are the domain and range in this situation? a. Which kick travels higher? Answer: Question 82. What strategies or big mathematical ideas might students use to help them ˜nd the formulas for part 2 and 5? Describe where the function is increasing and decreasing. USING STRUCTURE Write the quadratic function f(x) = x2 + x – 12 in intercept form. directrix: y = 2 Question 5. B. Algebra – 2008 75 Functions Work the task and look at the rubric. A. Answer: Question 62. Question 8. Question 5. Answer: Question 87. directrix: x = -3 The vertex of the parabola is (50, 37.5). Answer: Maintaining Mathematical Proficiency Geometry Home. Let g be a horizontal shrink by a factor of \(\frac{1}{4}\), followed by a translation 1 unit up and 3 units right of the graph of f(x) = (2x + 1)2 – 11. What is the maximum amount the shop can earn per month? Write a function that models the data. All dogs are mammals. REASONING Which of the following are possible coordinates of the point P in the graph shown? Write a function that models the height of the water-skier over time. (b) h(x) = -x2 + 5x + 9. Work with a partner. Write an equation of the form y = a(x – h)2 + k with vertex (33, 5) that models the flight path, assuming the fish leaves the water at (0, 0). B. passes through (13, 8) and has vertex (3, 2) The passenger shoots a second flare, whose path is modeled in the graph. When is the water-skier 5 feet above the water? A transformation of the graph of the parent function is represented by the function g(x) = a(x – h)2 + k, where a ≠ 0. A. translation 4 units right and vertical shrink by a factor of \(\frac{1}{2}\), followed by a translation 4 units up Complete the table. reflection in the y-axis followed by a translation 4 units right 2\(\sqrt{x-4}\) – 2 = 2 Question 9. Answer: Question 84. What is the maximum volume? Explain. Write an equation of the parabola. Answer: Write an equation of the line that passes through the points. Filesize: 1,801 KB; Language: English; Published: November 27, 2015; Viewed: 3,038 times Review the Examples and the Monitoring Progress questions. Write an equation of a parabola with vertex (-1, 4) and focus (-1, 2). Find the safe working load for a rope that has a circumference of 10 inches. e. f(x) = -2x2 + 3 g(x) = (x + 2)2 – 1 Question 1. Question 3. Explain. Answer: Question 14. When the kangaroo jumps from a higher location, it lands 5 feet farther away. MAKING AN ARGUMENT The point (1, 5) lies on the graph of a quadratic function with axis of symmetry x = -1. h(x) = 4(x + 4)2 + 6 Explain why you can not use the axes of symmetry to distinguish between the two functions. 2 ≤ x ≤ 5 (-6, -1) D. focus: (0, -1) C. (6, 14) Answer: Question 48. Are the yearly profits currently increasing, decreasing, or constant? Answer: Question 36. WHAT IF? Question 1. y = 2x + 7. f(x) = -4(x + 1)2 – 5 Question 4. Answer: Question 6. How far is the receiver from the vertex of the cross section? focus: (0, 5) directrix: y = 2 Will the vertex be the highest or lowest point on the graph of the parabola? The graph shows a quadratic function of the form Answer: Question 68. Question 2. Answer: Question 10. Parabolas and Symmetry c. g(x) = -(x + 2)2 – 2 d. Which method do you prefer when writing a transformed function? Your friend claims that for g(x) = b, where b is a real number, there is a transformation in the graph that is impossible to notice. Answer: Question 83. a. Question 81. Question 5. Explain the solution pathway you used to solve Exercise 47 on page 73. Answer: REASONING In Exercises 19 and 20, use the axis of symmetry to plot the reflection of each point and complete the parabola. x-intercepts of 12 and -6; passes through (14, 4) The arch of the bridge can be modeled by a parabola. How much weight can be supported by ice that is 22 inches thick? Write a function that models the new path of the water. Question 9. Big Ideas Math Geometry Answers Chapter 8 Similarity, Big Ideas Math Geometry Answers Chapter 7 Quadrilaterals and Other Polygons, Big Ideas Math Geometry Answers Chapter 6 Relationships Within Triangles, Big Ideas Math Geometry Answers Chapter 5 Congruent Triangles, Big Ideas Math Geometry Answers Chapter 4 Transformations, Big Ideas Math Geometry Answers Chapter 3 Parallel and Perpendicular Lines, Big Ideas Math Geometry Answers Chapter 2 Reasoning and Proofs, Big Ideas Math Geometry Answers Chapter 1 Basics of Geometry, Big Ideas Math Algebra 2 Answers Chapter 11 Data Analysis and Statistics. Gym B charges $30 per month, but due to a special promotion, is not currently charging an initiation fee. Explain your reasoning. What are the domain and range? c. Suppose the vertical stretch was performed first, followed by the translations. Graph the curve of the arch. \(\frac{-1}{4}\) = \(\frac{3}{x}\) Question 33. c. Find a vertical line on your graph paper so that when you fold the paper, the left portion of the graph coincides with the right portion of the graph. focus: (0, -10) COMPARING METHODS Let the graph of g be a translation 3 units up and 1 unit right followed by a vertical stretch by a factor of 2 of the graph of f(x) = x2. Whose method is easier? Answer: Question 77. D. (1, –\(\frac{1}{36}\)) a. Justify your answer. LOG IN. Question 1. Modeling with a Quadratic Function. If flawed, explain why the conclusion is not valid. directrix: y = –\(\frac{5}{4}\) Predict the number of tiles in the 12th figure. Describe the graph of g as a transformation of the graph of f(x) = x2. Answer: Question 15. C.focus: (0, 6) Each time the shop decreases the price by $10, it sells 1 additional surfboard per month. C. x = \(\frac{1}{8}\)y2 What is the depth of the antenna? A line of symmetry for the figure is shown in red. Write a rule for g. Question 9. Please enter your access code. Answer: Question 38. Question 3. The height (in inches) of the jump above the ground of a 1-inch-long grasshopper is given by h(x) = –\(\frac{1}{20}\)x2 + x, where x is the horizontal distance (in inches) of the jump. Question 12. Answer: Question 28. C. (4, –\(\frac{4}{9}\)) Label the vertex and axis of symmetry. Textbook solutions for BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015… 15th Edition HOUGHTON MIFFLIN HARCOURT and others in this series. Draw the reflected beams. (See Ray 1 in the figure.) Question 1. Basic Math Skills. Label the vertex and axis of symmetry. Answer: USING TOOLS In Exercises 61–64, identify the x-intercepts of the function and describe where the graph is increasing and decreasing. Then use a graphing calculator to verify that your answer is correct. Answer: Question 79. Why does the height you found in Exercise 44 on page 53 make sense in the context of the situation? Explain your reasoning. Mathleaks offers learning-focused solutions to the most commonly adopted textbooks in Algebra 2. C. vertical shrink by a factor of \(\frac{1}{2}\) , followed by a translation 4 units up and 4 units right Answer: Question 65. Quadratic Functions Maintaining Mathematical Proficiency. LOGIN New to Big Ideas Math? How far is the bulb from the vertex of the cross section? to get access to your one-sheeter, Big Ideas Math Algebra 2: A Bridge to Success, Transformations of Linear and Absolute Value Functions, Adding, Subtracting, and Multiplying Polynomials, Properties of Rational Exponents and Radicals, Solving Radical Equations and Inequalities, Transformations of Exponential Logarithmic Functions, Solving Exponential and Logarithmic Equations, Modeling with Exponential and Logarithmic Functions, Multiplying and Dividing Rational Expressions, Adding and Subtracting Rational Expressions, Analyzing Arithmetic Sequences and Series, Finding Sums of Infinite Geometric Series, Probability of Disjoint and Overlapping Events. Answer: Question 23. Question 56. b. What happens to the vertex of the graph as a increases? Review previously completed homework assignments. Choose a Book. ANALYZING EQUATIONS The graph of which function has the same axis of symmetry as the graph of y = x2 + 2x + 2? x-intercepts of -7 and -3; passes through (-2, 0.05) directrix: x = -10 To explore the answers to these questions and more, go to BigIdeasMath.com. Answer: Question 2. Question 1. g(x) = -1.5x2 + 3x + 2 Answer: Question 37. Find the length of the latus rectum of the parabola shown. MODELING WITH MATHEMATICS Although a football field appears to be flat, some are actually shaped like a parabola so that rain runs off to both sides. MODELING WITH MATHEMATICS A kernel of popcorn contains water that expands when the kernel is heated, causing it to pop. focus: (0, \(\frac{6}{7}\)) Answer: Question 34. Answer: Question 48. Your friend says the vertex could be the point (0, 5). Answer: Question 31. Let the graph of g be a translation 3 units right of the graph of f. The points (−1, 6), (3, 14), and (6, 41) lie on the graph of f. Which points lie on the graph of g? y = \(\frac{1}{4}\)x2 – 3x + 2 When the rays hit the parabola, they reflect at the same angle at which they entered. Is your friend correct? Explain your reasoning. In Exercises 21–30, graph the function. Justify your answer. b. All mammals are warm-blooded. a. Answer: Question 35. What is the focus of a parabola? Label the vertex and axis of symmetry. Question 27. Answer: Question 52. F. (2, –\(\frac{1}{18}\)) Question 13. Answer: Question 39. focus, p. 68 b. Using the Features of Your Textbook to Prepare for Quizzes and Tests, Describe the transformation of f(x) = x2 represented by g. (Section 2.1), Write a rule for g and identify the vertex. Use a graphing calculator to verify your answer. Answer: Question 64. Consider the graph of the function f(x) = a(x – p)(x – q). How does this affect the focus? A. y = 2(x – 2)(x + 1) Answer key for big ideas math algebra 2 Which better represents the data, a line or a parabola? Let the graph of g be a translation 2 units left and 1 unit down, followed by a reflection in the y-axis of the graph of f(x) = (2x + 1)2 – 4. vertex: (0, 0) Compare the distance it travels before it hits the ground with the distances of the first two shots. NOW is the time to make today the first day of the rest of your life. b. Big Ideas Math Book Algebra 2 Answer Key Chapter 2 Quadratic Functions. Write an expression in terms of a and b that represents the year t when the company made the least profit. The y-intercept is 4.8. MODELING WITH MATHEMATICS Solar energy can be concentrated using long troughs that have a parabolic cross section as shown in the figure. Answer: Question 27. What is the focus of a parabola? f(x) = \(\frac{1}{2}\)(x – 1)2 REPEATED REASONING The table shows the number of tiles in each figure. COMPLETE THE SENTENCE The graph of a quadratic function is called a(n) ________. The function ( ) f x x = has a domain of all real non-negative numbers because you cannot get a real number value of ( ) f x if 0. x < Its range is also all real non-negative numbers. c. Does the value of a change when the flight path has vertex (30, 4)? Use the verbal model and quadratic function to determine how much the store should charge per camera to maximize monthly revenue. Describe how you were able to construct a viable argument in Exercise 28 on page 81. Answer: USING TOOLS In Exercises 35–40, match the function with its graph. Answer: Question 49. Graph the function. g(x) = \(\frac{1}{2}\)(x + 1)2 – 2 What is the depth of the reflector?

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