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Chapter 2: Q. 14 (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 functionC.y=x+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 of the function y=xbut it is shifted vertically up by 2units.

If a positive real number k is added to the outputs of a function y=f(x),the graph of the new function y=f(x)+k is the graph of fshifted vertically up kunits.

Thus, the function of the graph is y=x+2that matched to option C.

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Most popular questions from this chapter

Suppose that the graph of a function gis known. The graph of y=g(x)+2may be obtained by a _______ shift of the graph of g ________ a distance of 2 units.

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