Suppose the graph of a function f is given. Write an equa- tion for each of the graphs that are obtained from the graph of f as follows. (a) Shift upward 3 units (b) Shift downward 3 units (c) Shift 3 units to the right (d) Shift 3 units to the left (e) Reflect in the x-axis (f) Reflect in the y-axis (g) Stretch vertically by a factor of 3 (h) Shrink vertically by a factor of (i) Shrink horizontally by a factor of (j) Stretch horizontally by a factor of 3

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.2: Graphs Of Functions
Problem 86E
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Suppose the graph of a function f is given. Write an equa-
tion for each of the graphs that are obtained from the graph
of f as follows.
(a) Shift upward 3 units
(b) Shift downward 3 units
(c) Shift 3 units to the right
(d) Shift 3 units to the left
(e) Reflect in the x-axis
(f) Reflect in the y-axis
(g) Stretch vertically by a factor of 3
(h) Shrink vertically by a factor of
(i) Shrink horizontally by a factor of
(j) Stretch horizontally by a factor of 3
Transcribed Image Text:Suppose the graph of a function f is given. Write an equa- tion for each of the graphs that are obtained from the graph of f as follows. (a) Shift upward 3 units (b) Shift downward 3 units (c) Shift 3 units to the right (d) Shift 3 units to the left (e) Reflect in the x-axis (f) Reflect in the y-axis (g) Stretch vertically by a factor of 3 (h) Shrink vertically by a factor of (i) Shrink horizontally by a factor of (j) Stretch horizontally by a factor of 3
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