The function g is related to one of the parent functions described in an earlier section. 9(2) = x² + 9 (a) Identify the parent function f. fx) = (b) Describe the sequence of transformations from f to g. (Select all that apply.) O vertical shift of 9 units upward O reflection in the x-axis O horizontal shift of 9 units left O vertical shrink O horizontal shift of 9 units right (c) Sketch the graph of g. y 1아 -15 - 10 -10 -10 -15 15 1아 15 (d) Use function notation to write g in terms of f. ㅇ

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.6: Transformations Of Functions
Problem 104E
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The function g is related to one of the parent functions described in an earlier section.
9(x) = x? + 9
(a) Identify the parent function f.
f(x) =
(b) Describe the sequence of transformations from f to g. (Select all that apply.)
O vertical shift of 9 units upward
O reflection in the x-axis
O horizontal shift of 9 units left
O vertical shrink
O horizontal shift of 9 units right
(c) Sketch the graph of g.
y
y
10-
5
-4
2
4
-5
- 15
-10
.5
-10
-10
-15
y
y
15
10!
10
- 15
-5
-5
-4
-2
-10
(d) Use function notation to write g in terms of f.
1 +
(x)6
Transcribed Image Text:The function g is related to one of the parent functions described in an earlier section. 9(x) = x? + 9 (a) Identify the parent function f. f(x) = (b) Describe the sequence of transformations from f to g. (Select all that apply.) O vertical shift of 9 units upward O reflection in the x-axis O horizontal shift of 9 units left O vertical shrink O horizontal shift of 9 units right (c) Sketch the graph of g. y y 10- 5 -4 2 4 -5 - 15 -10 .5 -10 -10 -15 y y 15 10! 10 - 15 -5 -5 -4 -2 -10 (d) Use function notation to write g in terms of f. 1 + (x)6
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