Describe a function g(x) in terms of f(x) if the graph of g is obtained by vertically stretching f by a factor of 7, then shifting the graph of f to the right 2 units and upward 4 units. g(x) = Af(x + B) + C where A = B = C = I| ||

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 4ECP
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Describe a function g(x) in terms of f(x) if the graph of g is obtained
by vertically stretching f by a factor of 7, then shifting the graph of f
to the right 2 units and upward 4 units.
g(x) = Af(x + B) + C where
A
B =
C :
||
Transcribed Image Text:Describe a function g(x) in terms of f(x) if the graph of g is obtained by vertically stretching f by a factor of 7, then shifting the graph of f to the right 2 units and upward 4 units. g(x) = Af(x + B) + C where A B = C : ||
Expert Solution
Step 1

We know that, the graphical transformation:

1). The transformation fxafx can be obtained by stretching the graph of f(x) in vertically by a factor of 'a' if a>1.

2). The transformation fxfx-a can be obtained by shifting the graph of f(x) in right direction by 'a' units if a>0.

3). The transformation fxfx+a can be obtained by shifting f(x) in vertically upward direction by 'a' units if a>0.

Given:

g(x)=Afx+B+C

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