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

10-139.

Without graphing, determine if the graph of each rule below has zero, one, or two

*x*‑intercepts. Show all work. Homework Help ✎*y*= 6*x*^{2}+ 7*x*− 20*y = x*8^{2}−*x*+*y*= 2*x*^{2}+*x*+ 3*y*= (2*x*+ 1)^{2}

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.

0 = (3*x* − 5)(*x* + 4)

Two intercepts.

0 = (*x* − 4)^{2}

No intercepts.