CPM Homework Help : INT3 Problem 12-41

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

Hint 1:

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

Hint 2:

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

Hint 3:

Solve the system of equations.

Answer:

$a = 1$