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Chapter 2: Q. 10 (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 functionD.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 

When the right side of the function y=f(x)is multiplied by -1the 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=xin the x-axis isy=-x.

03

Step 3. Stating the function of the graph 

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.

Since the graph of y=-xis shifted vertically up by 2units.

The function of the given graph isy=-x+2that matched to the option D.

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Most popular questions from this chapter

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

The set of all images of the elements in the domain of a function is called the _________.

Exploration Graph y=x3,y=x5, and y=x7 on the same screen. What do you notice is the same about each graph? What do you notice that is different?

Match each graph to its function.

A. Constant function

B. Identity function

C. Square function

D. Cube function

E. Square root function

F. Reciprocal function

G. Absolute value function

H. Cube root function

The intercepts of the equationy=x2-9are
See all solutions

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