Question

What is the equation of the quadratic graph with a focus of (5, 6) and a directrix of y = 2? (1 point)

Answer 1

the equation of a parabola in focus-directrix form is (x - h)² = 4p (y - k), where the focus is (h, k + p) and the directrix is y = k - p
in this case, h=5, k+p=6, k-p=2, so k=4, p=2
the equation is (x-5)²=8(y-4)