Create a system of three equations in three variables using the points and the equation y = ax2 + bx + c.
a − b + c = 10
c = 5
4a + 2b + c = 7
Substitute the value for c into the first and third equations to simplify.
You now have a system of two equations with two variables to solve.
y = 2x2 − 3x + 5
Use the eTool below to check your solution graphically.
Click the link at right for the full version of the eTool: INT3 11-101 HW eTool