What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?

y = - ⅛ (x - 3) ² + 3

Step-by-step explanation:

(x - h) ² = 4p (y - k)

h = 3

k + p = 1

k - p = 5

2k = 6

k = 3

p = - 2

(x - 3) ² = 4 (-2) (y - 3)

(x - 3) ² = - 8 (y - 3)

y = - ⅛ (x - 3) ² + 3