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Chapter 11: Q. 312 (page 1159)

In the following exercises, solve the system of equations by using graphing.

y=x2-4y=x-4

Short Answer

Expert verified

Intersection of both equations are

(0,-4) and (1,-3)

Step by step solution

01

Given Information 

Given system of equations

y=x2-4y=x-4

02

Graph the first equation 

The given equation is

y=x2-4x-coordinateofvertexx=-b2ax=-02(1)=0x=0y=(0)2-4=-4vertex(0,-4)

The value of a=1, a is positive. so the graph of parabola goes up .

y intercept is (0,-4)

To find x intercept , replace y with 0

0=x2-44=x2x=卤2

x intercepts are (-2,0) and (2,0)

Now graph the parabola

03

Graph the second equation 

find x and y intercepts

y=x-4x=0y=0-4y=-4yintercept(0,-4)y=00=x-4x=4xintercept(4,0)

Graph the x and y intercepts in the same plane

04

Graph of system of equations

Graph of both equations

Intersection of both equations are

(0,-4) and (1,-3)

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