Chapter 9: TRY IT : : 9.92 (page 931)

Find the intercepts of the parabola whose function is $f (x) = x^{2} - 4 x - 5 .$

Short Answer

Expert verified

The y-intercept at the point (0, -5)
The x-intercepts at the points (5, 0) and (−1, 0) .

Step by step solution

Step 1. To find the y-intercept, let x = 0 andsolve for f (x) .

$f (x) = x^{2} - 4 x - 5 f (0) = {(0)}^{2} - 4 (0) - 5 f (x) = - 5$

When x = 0 , then f (0) = -5 .

The y-intercept at the point (0, -5) .

Step 2. To find the x-intercept, let f (x) = 0 andsolve for x .

$f (x) = x^{2} - 4 x - 5 0 = x^{2} - 4 x - 5$

Solve by factoring.

localid="1646062204697" $0 = (x - 5) (x + 1) 0 = x - 5; 0 = x + 1 5 = x; - 1 = x$

When f (x) = 0 , then x = 5 or x = −4 .

The x-intercepts are the points (5, 0) and (−1, 0) .

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Find the intercepts of the parabola whose function is $f (x) = x^{2} - 4 x - 5 .$

Short Answer

Step by step solution

Step 1. To find the y-intercept, let x = 0 andsolve for f (x) .

Step 2. To find the x-intercept, let f (x) = 0 andsolve for x .

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Find the intercepts of the parabola whose function is f(x)=x2−4x−5.

Short Answer

Step by step solution

Step 1. To find the y-intercept, let x = 0 andsolve for f (x) .

Step 2. To find the x-intercept, let f (x) = 0 andsolve for x .

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Geometry

Applied Mathematics

Decision Maths

Mechanics Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Find the intercepts of the parabola whose function is $f (x) = x^{2} - 4 x - 5 .$