The graph of the fur A vertical sh A horizontal
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Problem 1RQ
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Transcribed Image Text:The graph of the function \( f(x) = \frac{1}{x + 4} - 13 \) is a transformation of the graph of the function \( g(x) = \frac{1}{x} \) by:
- A horizontal shift of _____ units.
- A vertical shift of _____ units.
Expert Solution
Step 1
Vertical shift and horizontal shift:
A new function , where k may be a constant, may be a vertical shift of the function , given a function . All of the output values are adjusted by k units. The graph will move up if k is positive and will move down if k is negative.
Given a function f, a brand new function could be a horizontal shift of the function f, where h could be a constant. The graph will move right if h is positive and shift left if h is negative.
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