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

12-95.

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

What is its equation?

Where is its vertex?

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 = 4*a* + 2*b* + *c*.

Average the *x*-intercepts or complete the square.