Question

Rico is drafting a parabola on a coordinate plane. He wants the focus to be at (0,4) and the directrix to be y=2 . What will be the equation, in standard form, that matches this parabola? Fill in the missing values of the equation.(1 point)
y=
x2+3

Answer 1

The vertex is midway between the focus (0,4) and directrix y=2, so vertex = (0,3) and p = 1. Using (x−h)^2 = 4p(y−k):

x^2 = 4(y−3) → y = (1/4)x^2 + 3.