### Home > CCA > Chapter 8 > Lesson 8.2.2 > Problem 8-73

8-73.

The (

*x*-intercepts) of the graph of*y*= 2*x*^{2}− 16*x*+ 30 are (3, 0) and (5, 0). Homework Help ✎What is the

*x*-coordinate of the vertex? How do you know?Use your answer to part (a) above to find the

*y*-coordinate of the vertex. Then write the vertex as a point (*x*,*y*).

Consider that the vertex of a parabola is on the line of symmetry.

Since the line of symmetry lies exactly in the middle of the two *x*-intercepts, the *x*-coordinate of the vertex is 4.

Substitute the *x*-value you found for *x*, and find the corresponding *y*-value.