Substitute the point (1, 5) into y = ax² + bx + c where x = 1 and y = 5.
Repeat the previous step with (3, 19) and (−2, 29) to create two more equations.
You have created a system of three equations with three variables. Solve the system of equations.
Refer to problem 11-100 for help.
a + b + c = 5
9a + 3b + c = 19
4 − 2b + c = 29
(a, b, c) = (3, −5, 7). Substitute for a, b, and c to find the equation of the parabola.
Use the eTool below to graph the answer.
Click the link at right for the full version of the eTool: INT3 11-108 HW eTool