Use transformations of the graph of f(x) = x° to determine the graph of the given function. h(x) = x + 6)° -7 Select all the transformations that are needed to graph the given function using f(x) = x°. ] A. Shrink the graph horizontally by a factor of 7. B. Shift the graph 7 units down. O c. Stretch the graph vertically by a factor of O D. Shift the graph 6 units to the right. O E. Shift the graph 7 units up. OF. Shrink the graph vertically by a factor of 7. | G. Reflect the graph about the y-axis. | H. Stretch the graph horizontally by a factor of 7. ] 1. Reflect the graph about the x-axis. ] J. Shift the graph 6 units to the left.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Topic Video
Question

2

Use transformations of the graph of f(x) = x° to determine the graph of the given
function.
10-
h(x) = (x+ 6)3 - 7
8-
Select all the transformations that are needed to graph the given function using
6-
f(x) = x³.
4-
O A. Shrink the graph horizontally by a factor of 7.
B. Shift the graph 7 units down.
2-
-10
-8
-6.
-4
-2
2.
4
6.
10
O c. Stretch the graph vertically by a factor of
-2-
4
] D. Shift the graph 6 units to the right.
-4-
E. Shift the graph 7 units up.
-6-
-8-
| F. Shrink the graph vertically by a factor of
-10-
G. Reflect the graph about the y-axis.
H. Stretch the graph horizontally by a factor of 7.
I. Reflect the graph about the x-axis.
O J. Shift the graph 6 units to the left.
Transcribed Image Text:Use transformations of the graph of f(x) = x° to determine the graph of the given function. 10- h(x) = (x+ 6)3 - 7 8- Select all the transformations that are needed to graph the given function using 6- f(x) = x³. 4- O A. Shrink the graph horizontally by a factor of 7. B. Shift the graph 7 units down. 2- -10 -8 -6. -4 -2 2. 4 6. 10 O c. Stretch the graph vertically by a factor of -2- 4 ] D. Shift the graph 6 units to the right. -4- E. Shift the graph 7 units up. -6- -8- | F. Shrink the graph vertically by a factor of -10- G. Reflect the graph about the y-axis. H. Stretch the graph horizontally by a factor of 7. I. Reflect the graph about the x-axis. O J. Shift the graph 6 units to the left.
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