# How do you graph the function, label the vertex, axis of symmetry, and x-intercepts. y = 1/2x^2 + 6x?

$y = x \left(\frac{x}{2} + 6\right)$
$x = - \frac{6}{1} = - 6$
y of vertex:$f \left(- 6\right) = \frac{36}{2} - 36 = - 18$
x- intercepts: $x = 0 \mathmr{and} \left(\frac{x}{2} + 6\right) = 0 \to x = - 12$