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Q. 1

Expert-verifiedFound in: Page 155

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 $(-3,0),(3,0)$, and the *y-*intercept is $(0,-9)$.

The given equation is:

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

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.

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

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

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