CPM Homework Help : AC Problem 8-108

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

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

Hint (a):

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

Hint (a):

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

Hint (a):

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

Answer (a):

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

Hint (b):

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

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