### Home > CCA2 > Chapter 2 > Lesson 2.1.3 > Problem 2-36

2-36.

Find the vertex of each of the following parabolas by averaging the *x*-intercepts. Then write each equation in graphing form. Homework Help ✎

What are the

*x*-intercepts of this equation? After finding them, average the*x*-coordinates to find the*x*-value, and then substitute this value into the equation to find the corresponding*y*-value.*x*-intercepts: (3, 0) and (11, 0)

vertex: (7, –16)equation:

Refer to part (a).

*x*-intercepts: (–2, 0) and (6, 0)

vertex: (2, –16)equation:

*y*= (*x*– 2)^{2}– 16Refer to part (a).

*x*-intercepts: (10, 0) and (4, 0)

vertex: (7, –9)equation:

First square

and combine like terms. Refer to part (a).