CPM Homework Help : CCAA8 Problem 10-139

Without graphing, determine if the graph of each rule below has zero, one, or two $x$ -intercepts. Show all work.

Hint:

The graphs of these equations are all parabolas. To find the $x$ -intercepts, let $y=0$ and solve using the Quadratic Formula or factoring and the Zero Product Property.

$y=6x^2+7x−20$
Hint (a):
$0=(3x−5)(x+4)$
Answer (a):
Two intercepts.

$y=x^2−8x+16$
Hint (b):
$0=(x−4)^2$

$y=2x^2+x+3$
Answer (c):
No intercepts.

$y=(2x+1)^2$