### Home > A2C > Chapter 10 > Lesson 10.1.1 > Problem10-24

10-24.

Find the exact equation of this graph.

Determine the roots of the equation.

There are three real roots, one at $x = 2$ and two at $x = −2$.

Create a polynomial expressionfrom the roots.

$y = a\left(x + 2\right)^{2}\left(x − 2\right)$

Use the y-intercept to solve for a.

$\left(2\right) = a\left(\left(0\right) + 2\right)^{2}\left(\left(0\right) − 2\right)$

$\textit{y}=-\frac{1}{4}(x+2)^{2}(x-2)$