Use transformations of f(x) = x² to graph the following function. g(x) = - 4(x – 1)² + 4 Select all the transformations that are needed to graph the given function using f(x) = x². D A. Reflect the graph about the y-axis. B. Shrink the graph vertically by a factor of 4. c. Shift the graph 1 unit to the left. D. Shift the graph 1 unit to the right. O E. Shift the graph 4 units up. F. Reflect the graph about the x-axis. G. Stretch the graph vertically by a factor of 4. H. Stretch the graph horizontally by a factor of 4. O. Shift the graph 4 units down. O J. Shrink the graph horizontally by a factor of 4. Use the graphing tool to graph the function.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.5: Transformation Of Functions
Problem 2TI: Given the function f(x)=x , graph the original function f(x) and the transformation g(x)=f(x+2) on...
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Use transformations of f(x) = x to graph the following function.
%3D
Ay
10-
g(x) = - 4(x- 1)2 +4
8-
Select all the transformations that are needed to graph the given function using
6-
f(x) = x?.
4-
O A. Reflect the graph about the y-axis.
B. Shrink the graph vertically by a factor of 4.
c. Shift the graph 1 unit to the left.
2-
-10
-8
-6
-4.
-2
4.
6.
8.
10
D. Shift the graph 1 unit to the right.
-2-
E. Shift the graph 4 units up.
F. Reflect the graph about the x-axis.
G. Stretch the graph vertically by a factor of 4.
-4-
-6-
-8-
H. Stretch the graph horizontally by a factor of 4.
-10-
I. Shift the graph 4 units down.
J. Shrink the graph horizontally by a factor of 4.
Use the graphing tool to graph the function.
Transcribed Image Text:Use transformations of f(x) = x to graph the following function. %3D Ay 10- g(x) = - 4(x- 1)2 +4 8- Select all the transformations that are needed to graph the given function using 6- f(x) = x?. 4- O A. Reflect the graph about the y-axis. B. Shrink the graph vertically by a factor of 4. c. Shift the graph 1 unit to the left. 2- -10 -8 -6 -4. -2 4. 6. 8. 10 D. Shift the graph 1 unit to the right. -2- E. Shift the graph 4 units up. F. Reflect the graph about the x-axis. G. Stretch the graph vertically by a factor of 4. -4- -6- -8- H. Stretch the graph horizontally by a factor of 4. -10- I. Shift the graph 4 units down. J. Shrink the graph horizontally by a factor of 4. Use the graphing tool to graph the function.
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