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Chapter 9: Q. 9.111 (page 952)

Graph f(x)=(x-4)2 using a horizontal shift.

Short Answer

Expert verified

The graph of f(x)=(x-4)2is

Step by step solution

01

Step 1. given data  

The given quadratic function is f(x)=(x-4)2

02

Step 2. plot the graph of the parent function 

Plot the graph off(x)=x2

03

Step 3. determine the horizontal shift  

Compare the function with f(x)=(x-h)2and determine the value of h

f(x)=(x-4)2f(x)=(x-h)2soh=4

04

Step 4. graph of the function  

Shift the graph of f(x)=x2to four units right

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