### Home > A2C > Chapter 12 > Lesson 12.1.1 > Problem 12-23

12-23.

A cannon shoots a cannon ball into the air. The barrel of the cannon is located six feet above the ground. After two seconds the ball is 102 feet above the ground. After four seconds it is 70 feet above the ground. Find the equation of the parabola that models the path of the cannon ball. Homework Help ✎

Identify the points that this information gives you.

(0, 6) (2, 102) (4, 70)

Use those points with the general equation of a parabola to create and solve a system of equations.

(6) = A(0)^{2} + B(0) + C

(102) = A(2)^{2} + B(2) + C

(70) = A(4)^{2} + B(4) + C

*h*(*t*) = −16*t*^{2} + 80*t* + 6