Suppose the graph of f is given. Describe how the graph of each function can be obtained from the graph of f. (a) y = -f(x) + 3 o reflect about the y-axis, then shift down 3 units o reflect about the x-axis, then shift down 3 units o reflect about the x-axis, then shift up 3 units o reflect about the y-axis, then shift left 3 units o reflect about the y-axis, then shift up 3 units y = 2f(x) – 3 O shrink vertically by a factor of 2, then shift down 3 units o stretch vertically by a factor of 2, then shift down 3 units O stretch vertically by a factor of 2, then shift up 3 units O shift down 3 units, then stretch vertically by a factor of 2 o stretch vertically by a factor of 3, then shift down 2 units (b)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter3: Linear And Nonlinear Functions
Section3.8: Absolute Value Functions
Problem 36PPS
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Suppose the graph of f is given. Describe how the graph of each function can be obtained from the graph of f.
y = -f(x) + 3
o reflect about the y-axis, then shift down 3 units
o reflect about the x-axis, then shift down 3 units
o reflect about the x-axis, then shift up 3 units
o reflect about the y-axis, then shift left 3 units
o reflect about the y-axis, then shift up 3 units
(a)
y = 2f(x) – 3
(b)
O shrink vertically by a factor of 2, then shift down 3 units
O stretch vertically by a factor of 2, then shift down 3 units
O stretch vertically by a factor of 2, then shift up 3 units
O shift down 3 units, then stretch vertically by a factor of 2
o stretch vertically by a factor of 3, then shift down 2 units
Transcribed Image Text:Suppose the graph of f is given. Describe how the graph of each function can be obtained from the graph of f. y = -f(x) + 3 o reflect about the y-axis, then shift down 3 units o reflect about the x-axis, then shift down 3 units o reflect about the x-axis, then shift up 3 units o reflect about the y-axis, then shift left 3 units o reflect about the y-axis, then shift up 3 units (a) y = 2f(x) – 3 (b) O shrink vertically by a factor of 2, then shift down 3 units O stretch vertically by a factor of 2, then shift down 3 units O stretch vertically by a factor of 2, then shift up 3 units O shift down 3 units, then stretch vertically by a factor of 2 o stretch vertically by a factor of 3, then shift down 2 units
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