### Home > INT3 > Chapter 8 > Lesson 8.1.2 > Problem8-33

8-33.
1. For each set of points given below, write a possible equation for a quadratic function in standard form. Homework Help ✎

1. (–3, 0) and,

2. (–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.

$\left(x - \frac{1}{2}\right)\, \, \rightarrow \, \, (2x-1)$

y = 2x2 + 5x – 3

See part (a).

$y=a(x+3)(x-2)$

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