You can put this solution on YOUR website!
Start with the given equation
Notice how the equation is now in vertex form
Remember, the vertex is (h,k). So in this case the vertex is (-4,6).
The line of symmetry is in the form
. So the equation is
(ie it's positive), the parabola opens up. So this means that a min will occur at the vertex. So in this case the minimum is
If we graph the function, we can visually verify our answer.
with the axis of symmetry
(blue line) and the vertex (-4,6)