### Home > INT3 > Chapter 12 > Lesson 12.1.3 > Problem12-41

12-41.

Write the equation of the parabola that passes through the points $\left(–2, 24\right), \left(3, –1\right)$, and $\left(–1, 15\right)$. Homework Help ✎

Use $y = ax^{2} + bx + c$ as the equation of the parabola.

Substitute the given points to create three equations in $a, b$, and $c$.

Solve the system of equations.

$a = 1$