Chapter 10: Q. 306 (page 1238)

In the following exercises, find the x- and y-intercepts.
$y = x^{2} - 8 x + 15$

Short Answer

Expert verified

xintercept is the point $(3, 0)$ and $(5, 0)$ ,y intercept is the pointlocalid="1657798182348" $(0, 15)$

Step by step solution

Given information

The given equation is: $y = x^{2} - 8 x + 15$

Determine the x intercepts.

For xintercept, set $y = 0$ and solve for x.

$0 = x^{2} - 8 x + 15 x^{2} - 8 x + 15 = 0$

Solve the using factoring.

localid="1653586242685" $(x - 3) (x - 5) = 0 x - 3 = 0 o r x - 5 = 0 x = 3 o r x = 5$

The result gives that when $y = 0$ , then $x = 3$ and $x = 5$ .

x-intercept is the point $(3, 0)$ and $(5, 0)$ .

Determine the y intercepts.

Substitute $x = 0$ and evaluate

localid="1657798250276" $y = {(0)}^{2} - 8 (0) + 15 = 0 + 0 + 15 = 15$

y-intercept is the point localid="1657798255842" $(0, 15)$ .

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In the following exercises, find the x- and y-intercepts.
$y = x^{2} - 8 x + 15$

Short Answer

Step by step solution

Given information

Determine the x intercepts.

Determine the y intercepts.

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In the following exercises, find the x- and y-intercepts.y=x2−8x+15

Short Answer

Step by step solution

Given information

Determine the x intercepts.

Determine the y intercepts.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Applied Mathematics

Geometry

Mechanics Maths

Theoretical and Mathematical Physics

Calculus

Study anywhere. Anytime. Across all devices.

In the following exercises, find the x- and y-intercepts.
$y = x^{2} - 8 x + 15$