# How do you find the axis of symmetry, and the maximum or minimum value of the function #y = –x^2 – 14x – 52#?

##### 1 Answer

Feb 26, 2016

Max at vertex (-7, -3)

#### Explanation:

Since a < 0, the parabola opens downward, there is a maximum at vertex.

x-coordinate of axis of symmetry, and vertex:

y-coordinate of vertex:

y(-7) = -49 + 98 - 52 = -3

Vertex (-7, -3) is a maximum.