### Home > A2C > Chapter 7 > Lesson 7.3.2 > Problem7-178

7-178.

Find the equation of the parabola that passes through the points $\left(−2, 24\right)$, $\left(3, −1\right)$, and $\left(−1, 15\right)$.

Substitue the points into the general equation $y = ax^{2} + bx + c$.

Use elimination to solve the system of equations.

Substitute the values you found for a, b, and c into the general equation from the first hint.