Chapter 1: Q. 16 (page 24)

Find the intercepts and graph each equation by plotting points. Be sure to label the intercepts.
$y = x^{2} - 9$ .

Short Answer

Expert verified

The intercepts are :

x-intercepts are $(- 3, 0) a n d (3, 0)$ ,

y-intercept is $(0, - 9)$ .

Step by step solution

Given information:

Consider the equation,

$y = x^{2} - 9$ .

To find the x-intercept:

Let $y = 0$ in the equation,

Then $x^{2} - 9 = 0$

$(x + 3) (x - 3) = 0$ [Factors]

$x + 3 = 0$ or $x - 3 = 0$ [Zero Product Property]

$x = - 3$ or $x = 3$

The equation has two solution, $- 3 a n d 3 .$

localid="1646704625840" $x - i n t e r c e p t s a r e (- 3, 0) a n d (3, 0) .$

To find the y-intercept:

Let $x = 0$ in the equation,

Then, $y = 0 - 9$

$y = - 9$ .

$y - i n t e r c e p t i s (0, - 9)$ .

To draw the graph:

We can draw the graph of the equation $y = x^{2} - 9$ by plotting the above intercepts and the points in the table below,

x	$y = x^{2} - 9$	$(x, y)$
-2	-5	$(- 2, - 5)$
-1	-8	$(- 1, - 8)$
1	-8	$(1, - 8)$
2	-5	$(2, - 5)$

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Find the intercepts and graph each equation by plotting points. Be sure to label the intercepts.
$y = x^{2} - 9$ .

Short Answer

Step by step solution

Given information:

To find the x-intercept:

To find the y-intercept:

To draw the graph:

One App. One Place for Learning.

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Find the intercepts and graph each equation by plotting points. Be sure to label the intercepts.y=x2-9.

Short Answer

Step by step solution

Given information:

To find the x-intercept:

To find the y-intercept:

To draw the graph:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Probability and Statistics

Discrete Mathematics

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Study anywhere. Anytime. Across all devices.

Find the intercepts and graph each equation by plotting points. Be sure to label the intercepts.
$y = x^{2} - 9$ .