Starting with the parent function f(x) = |x|. Perform the following transformations to get a new function g(x): a. Shift the function two units to the left, b. Vertical stretch the graph by 3 units, c. Reflect the function about the x-axis, d. Shift the function downward 2 units, e. State the new function g(x), f. Graph the new function. 10 8. 2 -10-8-64-2 -2 8 10 -4 6. 4. 2. CO 4.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 51PFA
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starting with the parent function f(x)= |x| perform the following transformations to get a new function: 1. shift the function two units to the left 2. vertical stretch the graph by three units 3. reflect the function about the X axis 4. ship the function downward two units 5. state the new function g(x) 6. graph the new function 
Starting with the parent function f(x) = |x|. Perform the following transformations to get a new function g(x):
a. Shift the function two units to the left,
b. Vertical stretch the graph by 3 units,
c. Reflect the function about the x-axis,
d. Shift the function downward 2 units,
e. State the new function g(x),
f. Graph the new function.
10
8.
2
-10-8-64-2
-2
8 10
-4
6.
4.
2.
CO
4.
Transcribed Image Text:Starting with the parent function f(x) = |x|. Perform the following transformations to get a new function g(x): a. Shift the function two units to the left, b. Vertical stretch the graph by 3 units, c. Reflect the function about the x-axis, d. Shift the function downward 2 units, e. State the new function g(x), f. Graph the new function. 10 8. 2 -10-8-64-2 -2 8 10 -4 6. 4. 2. CO 4.
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