Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - Cumulative Test for Chapters P-2 - Page 236: 12

Answer

The sketch of the graph is as shown.

Work Step by Step

At $y=0$: $$0=x^2-9$$ $$x^2=9$$ $$x=\pm\sqrt{9}=\pm 3$$ $$x=-3,3$$ Thus, two points are at $(-3,0)$ and $(3,0)$. At $x=0$: $$y=0^2-9$$ $$y=-9$$ Thus, another point is at $(0,-9)$. Plotting the three points and drawing a curve passing them, the sketch of the graph is as shown.
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