 Suggested languages for you:

Europe

Answers without the blur. Sign up and see all textbooks for free! Q. 1

Expert-verified Found in: Page 155 ### Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465 # List the intercepts of the equation $y={x}^{2}-9$.

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

See the 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.

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

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

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

## Step 3. Conclusion.

The x-intercepts are $\left(-3,0\right),\left(3,0\right)$ and the y-intercept is $\left(0,-9\right)$. ### Want to see more solutions like these? 