Chapter 10: Q. 310 (page 1238)

In the following exercises, find the x- and y-intercepts.
$y = x^{2} + 16 x + 64$

Short Answer

Expert verified

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

Step by step solution

Given information

The given expression is: $y = x^{2} + 16 x + 64$

Determine the x- intercept.

Set $y = 0$ and solve for x.

$0 = x^{2} + 16 x + 64 x^{2} + 16 x + 64 = 0$

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 $(- 8, 0)$ .

Determine the y- intercept.

Substitute $x = 0$ and evaluate $y (0)$ .

$y (0) = 0^{2} + 16 (0) + 64 = 0 + 0 + 64 = 64$

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

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In the following exercises, find the x- and y-intercepts.
$y = x^{2} + 16 x + 64$

Short Answer

Step by step solution

Given information

Determine the x- intercept.

Determine the y- intercept.

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In the following exercises, find the x- and y-intercepts.y=x2+16x+64

Short Answer

Step by step solution

Given information

Determine the x- intercept.

Determine the y- intercept.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Logic and Functions

Mechanics Maths

Theoretical and Mathematical Physics

Statistics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, find the x- and y-intercepts.
$y = x^{2} + 16 x + 64$