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The graph of g(x) is the graph of f(x) = x³ after a horizontal and vertical translation. Write the equation of g(x). 8. 2 집 f(x): g(x) X 9. P O N g(x) Atta 8 N x

The graph of g(x) is the graph of f(x) = x³ after a horizontal and vertical translation. Write the equation of g(x). 8. 2 집 f(x): g(x) X 9. P O N g(x) Atta 8 N x

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
The graph of g(x) is the graph of f(x)= x³ after a horizontal and vertical translation. Write the equation of g(x). 8. -2 4 -2 0 -2 fy 4 f(x): g(x) É 12 4 9. g(x) Ay 4 21 LO A if(x) 10. Suppose you translate the graph of y=(x-2)5 - 7 left 4 units and up 3 units. What is the equation of the resulting graph? 11. A turning point on the graph of a function is a point where the graph changes from increasing to decreasing, or from decreasing to increasing. A turning point corresponds to a local maximum or local minimum. a. Does the graph of y = x have a turning point? If so, what is it? b. Does the graph of y = (x + 5)¹ + 4 have a turning point? If so, what is it? c. For even values of n, what is the turning point of y = (x - h)"+k? Why is this true only when n is even?
Transcribed Image Text:The graph of g(x) is the graph of f(x)= x³ after a horizontal and vertical translation. Write the equation of g(x). 8. -2 4 -2 0 -2 fy 4 f(x): g(x) É 12 4 9. g(x) Ay 4 21 LO A if(x) 10. Suppose you translate the graph of y=(x-2)5 - 7 left 4 units and up 3 units. What is the equation of the resulting graph? 11. A turning point on the graph of a function is a point where the graph changes from increasing to decreasing, or from decreasing to increasing. A turning point corresponds to a local maximum or local minimum. a. Does the graph of y = x have a turning point? If so, what is it? b. Does the graph of y = (x + 5)¹ + 4 have a turning point? If so, what is it? c. For even values of n, what is the turning point of y = (x - h)"+k? Why is this true only when n is even?
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