### Home > CCA2 > Chapter 6 > Lesson 6.2.3 > Problem6-131

6-131.

Find the equation of the parabola that passes through the points $(-2,24),(3,-1),\ \text{and}\ (-1,15)$.

Set up a system of 3 equations with 3 variables by substituting the points into $y=ax^2+bx+c$.

$24=a(−2)^2+(−2)b+c$

$−1=a(3)^2+3b+c$

$15=a(−1)^2+(−1)b+c$

Now simplify each equation and solve the system.

Use the eTool below to graph the equation and check your solution.
Click the link at right for the full version of the eTool: CCA2 6-131 HW eTool