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Chapter 2: Q. 12 (page 126)

Graph the equation:

x=y2

Short Answer

Expert verified

The graph of the given equation is:

Step by step solution

01

Step 1. Given Information 

The given equation isx=y2

02

Step 2. Make a table for values 

Table of values for xand yis:

y
x=y2
-2
role="math" localid="1645950527866" x=(-2)2x=4
-1
x=-12x=1
0
x=02x=0
1
x=12x=1
2
x=22x=4
03

Step 3. Graph the function 

Plotting these points on the same cartesian plane and joining them to find them, we get:

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Most popular questions from this chapter

When functions are defined by more than one equation, they are called __________________ functions.

A wire of length xis bent into the shape of a circle.

Part (a): Express the circumference Cof the circle as a function of x.

Part (b): Express the areaAof the circle as a function ofx.

Graph the function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function and show all stages. Be sure to show at least three key points. Find the domain and the range of each function. Verify your results using a graphing utility.

g(x)=4x

A semicircle of radius r is inscribed in a rectangle so that the diameter of the semicircle is the length of the rectangle. See the figure.

(a) Express the area A of the rectangle as a function of the radius r of the semicircle.

(b) Express the perimeter p of the rectangle as a function of r.

True or False

The graph of y=-f(x)is the reflection about the x-axis of the graph of y=f(x).
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