### Home > CCA > Chapter 10 > Lesson 10.3.3 > Problem10-139

10-139.

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

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.

1. $y=6x^2+7x−20$

$0=(3x−5)(x+4)$

Two intercepts.

1. $y=x^2−8x+16$

$0=(x−4)^2$

1. $y=2x^2+x+3$

No intercepts.

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