What is the equation of the parabola with vertex (4, 4) and focus (7, 4) ?

So your equation is in the form (y-k) ^2 = 4p (x-h), where focus is at (h+p, k) and vertex is at (h, k) If h = 4 from the vertex and h + p = 3 from the focus, p = - 1 in your parabola. So your equation looks like (y--7) ^2 = - 4 (x - 4). Clean that up and you're all set.