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Chapter 2: Q. 8 (page 112)

In Problems 7鈥�18, match each graph to one of the following functions:

A.y=x2+2B.y=-x2+2C.y=x+2D.y=-x+2E.y=(x-2)2F.y=-(x+2)2G.y=x-2H.y=-x+2I.y=2x2J.y=-2x2K.y=2xL.y=-2x

Short Answer

Expert verified

The given graph is matched to the functionE.y=(x-2)2.

Step by step solution

01

Step 1. Given Information 

There is the given graph we have to match each graph to its functions.

02

Step 2. Identifying the function of the graph 

The given graph is similar to the graph of the function y=x2but is shifted horizontally right by 2units.

If the argument x of a function f is replaced by x-h,h>0,the graph of the

new function y=f(x-h) is the graph of f shifted horizontally right hunits.

Thus, the graph of the function isy=(x-2)2that matched to option E.

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