### Home > CCA > Chapter 11 > Lesson 11.2.1 > Problem 11-39

11-39.

Given the quadratic function

*f*(*x*) = −2(*x*− 2)^{2}+ 6 Homework Help ✎Without drawing a graph, tell the coordinates of the vertex and tell if the vertex represents the maximum or minimum value of the function.

Use your graphing shortcuts to draw a graph and verify your answer to part (a).

The graphing form of a quadratic is *f*(*x*) = *a*(*x* − *h*) + *k* where the vertex is at the point (*h*, *k*).

If the vertex is the highest point on the graph, then it is a maximum.

If it is the lowest point on the graph, then it is a minimum.