5.) Answer the following question based on the parabola whose equation is:

4(x)= -1/8(x - 8)^2 + 8

A) Vertex is:

B) Focus is:

C) Directrix is:

D) Axis of symmetry is:

E) Let point P have the coordinates (2, f(2))

F) Let point K have the coordinates (8, y) and located outside the parabola, this point is located on the axis of symmetry

G) Find the distance between focus and point P. (this distance should be a number)

H) Find the distance between focus and point K. (this distance is in terms of y)

I) Set the two distance equal and solve for y. Now the coordinates of point K is (8, y)

J) Find the equation of a line passing through point P and point K, express the equation of a line in form y= mx + n, where m and n are in simplest form