Chapter 10: Q. 305 (page 1238)

In the following exercises, find the x- and y-intercepts.
$y = x^{2} - 4 x + 5$

Short Answer

Expert verified

xintercept are the point $(- 1, 0)$ and $(5, 0)$ , yintercept is the point $(0, 5)$

Step by step solution

Given information

The given information is: $y = x^{2} - 4 x + 5$

Determine the x intercepts.

For x-intercept, set $y = 0$ and solve for x

0 = x^{2} - 4 x + 5 x^{2} - 4 x + 5 = 0

Solve the equation using factoring.

(x - 5) (x + 1) = 0 x + 1 = 0 o r x = - 5 x = - 1 o r x = 5

The result gives that when $y = 0$ , then $x = - 1$ and $x = 5$ .

The x-intercept is the point localid="1653583408158" $(- 1, 0)$ and $(5, 0)$ .

Determine the y intercepts.

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

$y = {(0)}^{2} - 4 (0) + 5 = 0 - 0 + 5 = 5$

The y-intercepts are the points $(0, 5)$ .

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In the following exercises, find the x- and y-intercepts.
$y = x^{2} - 4 x + 5$

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=x2−4x+5

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

Decision Maths

Probability and Statistics

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Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, find the x- and y-intercepts.
$y = x^{2} - 4 x + 5$