# How do you find the axis of symmetry, graph and find the maximum or minimum value of the function y = 2x^2 + 12x - 7?

Jan 10, 2016

Minimum at vertex (-3, -25)

#### Explanation:

X-coordinate of axis of symmetry:
$x = - \frac{b}{2 a} = - \left(\frac{12}{4}\right) = - 3$
Since a = 2 > 0, the parabola graph opens upward, there is minimum at vertex.
X-coordinate of vertex: x = -3 (vertex is on axis of symmetry)
Y-coordinate of vertex:
y = y(-3) = 2(9) - 36 - 7 = -25.