### Home > AC > Chapter 8 > Lesson 8.3.2 > Problem8-108

8-108.

Find the equation of each parabola below based on the given information.

1.  $x$ $−4$ $−3$ $−2$ $−1$ $0$ $1$ $2$ $3$ $4$ $y$ $12$ $5$ $0$ $−3$ $−4$ $−3$ $0$ $5$ $12$

$x$-intercepts at $(−3,0)$ and $(1,0)$.

$x = −3$ or $x = 1$
$x + 3 = 0$ or $x−1=0$
$(x+3)(x−1)=0$

At the $x$-intercept, $y=0$.

$y = (x + 3)(x − 1)$ or $y = x^² +2x − 3$

Use the same strategy as part (a) to solve part (b).