The graph of h(x) is given below. For each of the functions below, please (1) specify the sequence of transformations that take the graph of h(x) to the graph of the given function, in the correct order, and (2) sketch the function (please include the sequence of all sketches involved in the intermediate steps, if there are any). Y ·3 2 -8 -7 -6 -5 -4 -3 1 2 3 4 8 --2 -3 (a) f(x) = -h(3x+1) (b) g(x) = 3h(-2x) + 4

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.5: Transformation Of Functions
Problem 4SE: When examining the formula of a function that is the result of multiple transformations, how can you...
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The graph of h(x) is given below. For each of the functions below, please (1) specify the
sequence of transformations that take the graph of h(x) to the graph of the given function, in the
correct order, and (2) sketch the function (please include the sequence of all sketches involved in
the intermediate steps, if there are any).
3
-6
÷5
-4
-3
3
-3
(a) f(x) = -h(3x+1)
(b) g(x) = 3h(-2x) + 4
%3D
Transcribed Image Text:The graph of h(x) is given below. For each of the functions below, please (1) specify the sequence of transformations that take the graph of h(x) to the graph of the given function, in the correct order, and (2) sketch the function (please include the sequence of all sketches involved in the intermediate steps, if there are any). 3 -6 ÷5 -4 -3 3 -3 (a) f(x) = -h(3x+1) (b) g(x) = 3h(-2x) + 4 %3D
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