In the following exercise, g is related to one of the parent functions. Consider the following function. 9(x) = x2 - 2 (a) Identify the parent function f. f(x) = (b) Describe the sequence of transformations from f to g. (Select all that apply.) O horizontal shift of 2 units to the left O vertical shift of 2 units upward O vertical shift of 2 units downward O reflection in the x-axis O vertical shrink (c) Sketch the graph of g. y y y 20 20 20 10 10 10 -20 - 10 10 20 20 10 10 - 10 20 -20 10 2 10 - 10 - 20 - 20 - 10 10 20 -10 - 20 (d) Use function notation to write g in terms of f. g(x) =

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section: Chapter Questions
Problem 8PT: For the following exercises, evaluate the function f(x)=3x2+2x at the given input. 8. Graph the...
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In the following exercise, g is related to one of the parent functions.
In the following exercise, g is related to one of the parent functions.
Consider the following function.
g(x) = x2 - 2
(a) Identify the parent function f.
f(x) =
(b) Describe the sequence of transformations from f to g. (Select all that apply.)
O horizontal shift of 2 units to the left
O vertical shift of 2 units upward
O vertical shift of 2 units downward
O reflection in the x-axis
O vertical shrink
(c) Sketch the graph of g.
y
y
20
20
20
10
10
10
-20
- 10
10
20
- 20
-10
10
20
- 20
-10
10
20
ho
- 10
- 20
- 20
- 20
- 10
10
20
-10
- 20
(d) Use function notation to write g in terms of f.
g(x) = f
Transcribed Image Text:In the following exercise, g is related to one of the parent functions. Consider the following function. g(x) = x2 - 2 (a) Identify the parent function f. f(x) = (b) Describe the sequence of transformations from f to g. (Select all that apply.) O horizontal shift of 2 units to the left O vertical shift of 2 units upward O vertical shift of 2 units downward O reflection in the x-axis O vertical shrink (c) Sketch the graph of g. y y 20 20 20 10 10 10 -20 - 10 10 20 - 20 -10 10 20 - 20 -10 10 20 ho - 10 - 20 - 20 - 20 - 10 10 20 -10 - 20 (d) Use function notation to write g in terms of f. g(x) = f
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