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Chapter 3: Q. 11 (page 155)

Match each graph to one the following functions.

f(x)=x2-1

Short Answer

Expert verified

The required graph is in option C.

Step by step solution

01

Step 1. Given information.

The given function is:

f(x)=x2-1

02

Step 2. Identify the graph of the function.

The vertex of the function f(x)=a(x-h)2+kis localid="1645871716274" (h,k). The graph opens up if localid="1645871721726" a>0and it opens down if localid="1645871726821" a<0.

In the given function a=1,h=0,k=-1. So, the graph must be an upward parabola with vertex at localid="1645871788251" (0,-1).

03

Step 3. Conclusion.

The required graph is in option C.

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Most popular questions from this chapter

Graph the function fby starting with the graph of y=x2and using transformations (shifting, compressing, stretching, and/or reflection). Verify your results using a graphing utility.

f(x)=(x-3)2-10

Graph the function fby starting with the graph of y=x2and using transformations (shifting, compressing, stretching, and/or reflection). Verify your results using a graphing utility.

Hint: If necessary, write fin the form f(x)=a(x-h)2+k.

f(x)=3x2+6x

In the United States, the birthrate B of unmarried women (births per 1000 unmarried women) for women whose age is a is modeled by the function

B(a)=-0.27a2+14.23a-120.16

(a) What is the age of unmarried women with the highest birthrate?

(b) What is the highest birthrate of unmarried women?

(c) Evaluate and interpret B(40).

In Problems 6– 8, graph each quadratic function using transformations (shifting, compressing, stretching, and/or reflecting).

fx=x-22+2

Graph the function fby starting with the graph of y=x2 and using transformations (shifting, compressing, stretching, and/or reflection). Verify your results using a graphing utility.

f(x)=(x+2)2-2
See all solutions

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