### Home > INT3 > Chapter 11 > Lesson 11.2.4 > Problem 11-101

11-101.

What is the equation of the parabola that passes through the points (–1, 10), (0, 5), and (2, 7)?11-101 HW eTool (Desmos). Desmos Accessibility Homework Help ✎

Create a system of three equations in three variables using the points and the equation *y* = *ax*^{2} + *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* = 2*x*^{2} − 3*x* + 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