Determine the equation of the parabola

[Azurin]

Determine the equation of the parabola with range y|y≧-6 and x-intercepts at -5 and 3.

 

[skeeter]

$y = k(x+5)(x-3)$, where $k$ is a constant

$y \ge -6 \implies k > 0$

vertex is located at $(x,-6)$ where $x$ is midway between the two x-intercepts

determine the x-value of the vertex, then use the vertex coordinates to determine the value of $k$