### Home > INT2 > Chapter 12 > Lesson 12.1.3 > Problem 12-37

12-37.

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

*x*‑intercepts. Then describe the roots of each quadratic function. Show all work. Homework Help ✎a.

*y*= 6*x*^{2}+ 7*x*− 20b.

*y*=*x*^{2}− 8*x*+ 16c.

*y*= 2*x*^{2}+*x*+ 3d.

*y*= (2*x*+ 1)^{2}

0 = (3*x* − 5)(*x* + 4)

Two intercepts.

0 = (*x* − 4)^{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.

No intercepts.