Which is the standard form of the equation of a parabola with a focus of (8, 0) and directrix x = - 8?

With a parabola that faces left or right it is

(y-k) ²=4p (x-h)

p is distance from directix to vertex which is also the distance from vertex to focus

if it opens to the right, then p is positive

if it opens to the left, then p is negative

so we know that directix is-8 and focus is (8,0)

directix is behind the parabola

so therfor the parabola opens to the right

distance from x=-8 to (8,0) is 16 units

16/2=8

p=8

vertex is 8 units to right of directix or 8 units to the left of focus

(8,0) is focus so vertex is (0,0)

(h, k) is vertex

(y-k) ²=4p (x-h)

(y-0) ²=4 (16) (x-0)

y²=64x