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Chapter 2: Q. 7 (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 functionB.y=-x2+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

When the right side of the function y=f(x)is multiplied by -1,the graph

of the new function y=-f(x) is the reflection about the x-axis of the graph

of the function y=f(x).

Thus, the function whose graph is the reflection of the graph of y=x2 in the x-axis is y=-x2.

The given graph is the reflection in the x-axis of the function y=x2that is shifted vertically up by2 units.

So, the function of the given graph isrole="math" localid="1645856662806" y=-x2+2that matched to option B.

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