Suppose the graph of f is given. Describe how the graph of each function can be obtained from the graph of f. (a) y = 9 - 3f(x) O stretch vertically by a factor of 3, reflect about the x-axis, then shift down 9 units O stretch vertically by a factor of 3, reflect about the y-axis, then shift up 9 units stretch vertically by a factor of 3 then shift down 9 units O stretch vertically by a factor of 3, reflect about the x-axis, then shift up 9 units O stretch horizontally by a factor of 3, reflect about the x-axis, then shift up 9 units (b) y = 3 – f(-x) O reflect about the x-axis, then shift up 3 units O shift up 3 units, reflect about the x-axis, then reflect about the y-axis O reflect about the x-axis, reflect about the y-axis, then shift up 9 units O reflect about the x-axis, reflect about the y-axis, then shift right 3 units O reflect about the x-axis, reflect about the y-axis, then shift up 3 units

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 31PPS
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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.
(а)
y = 9 - 3f(x)
O stretch vertically by a factor of 3, reflect about the x-axis, then shift down 9 units
O stretch vertically by a factor of 3, reflect about the y-axis, then shift up 9 units
O stretch vertically by a factor of 3 then shift down 9 units
stretch vertically by a factor of 3, reflect about the x-axis, then shift up 9 units
O stretch horizontally by a factor of 3, reflect about the x-axis, then shift up 9 units
(b)
y = 3 - f(-x)
O reflect about the x-axis, then shift up 3 units
O shift up 3 units, reflect about the x-axis, then reflect about the y-axis
reflect about the x-axis, reflect about the y-axis, then shift up 9 units
O reflect about the x-axis, reflect about the y-axis, then shift right 3 units
reflect about the x-axis, reflect about the y-axis, then shift up 3 units
O O O
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. (а) y = 9 - 3f(x) O stretch vertically by a factor of 3, reflect about the x-axis, then shift down 9 units O stretch vertically by a factor of 3, reflect about the y-axis, then shift up 9 units O stretch vertically by a factor of 3 then shift down 9 units stretch vertically by a factor of 3, reflect about the x-axis, then shift up 9 units O stretch horizontally by a factor of 3, reflect about the x-axis, then shift up 9 units (b) y = 3 - f(-x) O reflect about the x-axis, then shift up 3 units O shift up 3 units, reflect about the x-axis, then reflect about the y-axis reflect about the x-axis, reflect about the y-axis, then shift up 9 units O reflect about the x-axis, reflect about the y-axis, then shift right 3 units reflect about the x-axis, reflect about the y-axis, then shift up 3 units O O O
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