Question

What is the vertex of the parabola? y+4=1/2(x−7)2 Enter your answer in the boxes.

Answer 1

By  y+4=1/2(x−7)2  I believe you meant  y+4=(1/2)*(x−7)^2
Compare this to                                        y-k = a(x-h)^2

You can see that k = -4 and h = 7.  The vertex is at (7, -4).