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

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:
$x = - \frac{b}{2 a} = - \frac{14}{2} = - 7$
y-coordinate of vertex:
y(-7) = -49 + 98 - 52 = -3
Vertex (-7, -3) is a maximum.