Chapter 3: Q. 1 (page 155)

List the intercepts of the equation $y = x^{2} - 9$ .

Short Answer

Expert verified

The x-intercepts are $(- 3, 0), (3, 0)$ , and the y-intercept is $(0, - 9)$ .

Step by step solution

Step 1. Given information.

The given equation is:

$y = x^{2} - 9$

Step 2. Determine the intercepts.

Substitute $y = 0$ in the given equation to find the x-intercepts.

$\begin{array}{rcl} 0 & = & x^{2} - 9 \\ 9 & = & x^{2} \\ \pm \sqrt{9} & = & x \\ \pm 3 & = & x \end{array}$

Substitute $x = 0$ in the given equation to find the y-intercept.

$\begin{array}{rcl} y & = & {(0)}^{2} - 9 \\ y & = & - 9 \end{array}$

Step 3. Conclusion.

The x-intercepts are $(- 3, 0), (3, 0)$ and the y-intercept is $(0, - 9)$ .

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x	$y = f (x)$
-2	-4
-1	-3.5
0	-3
1	-2.5
2	-2

List the intercepts of the equation $y = x^{2} - 9$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the intercepts.

Step 3. Conclusion.

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List the intercepts of the equation y=x2-9.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the intercepts.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Theoretical and Mathematical Physics

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Study anywhere. Anytime. Across all devices.

List the intercepts of the equation $y = x^{2} - 9$ .