### Home > INT3 > Chapter 12 > Lesson 12.2.2 > Problem12-95

12-95.

A parabola passes through the points $(0, 5), (2, 1),$ and $(6, 17)$.

1. What is its equation?

Substitute each point into the equation $y = ax^2+ bx + c$.
You will have a system of three equations with three unknowns.
One of your equations should be $1 = 4a + 2b + c$.

1. Where is its vertex?

$x=\frac{-b}{2a}$