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Chapter 10: Q. 310 (page 1238)

In the following exercises, find the x- and y-intercepts.

y=x2+16x+64

Short Answer

Expert verified

x- intercept is the point(-8,0)and y- intercept is the point(0,64).

Step by step solution

01

Given information

The given expression is:y=x2+16x+64

02

Determine the x- intercept.

Set y=0 and solve for x.

0=x2+16x+64x2+16x+64=0

Solve the equation using factoring.

(x+8)(x+8)=0

x+8=0 or x+8=0

x=-8 or x=-8

The result gives that when y=0, then x=-8

x- intercept is the point (-8,0).

03

Determine the y- intercept.

Substitute x=0and evaluate y(0).

y(0)=02+16(0)+64=0+0+64=64

y- intercept is the point(0,64).

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