### Home > INT3 > Chapter 8 > Lesson 8.1.2 > Problem 8-33

8-33.

For each set of points given below, write a possible equation for a quadratic function in standard form. Homework Help ✎

(–3, 0) and,

(–3, 0), (2, 0), and (3, –12)

These are the *x*-intercepts, so work backwards by using the Zero Product Property to write an equation in factored form.

*y* = 2*x*^{2} + 5*x* – 3

See part (a).

Now substitute in the coordinates of the point (3, −12) to solve for *a.*