write the equation of the parabola : focus (-2,4) ; directrix y=2

Answer 1

it helps to start with a diagram on the coordinate plane

the vertex is halfway between the focus and the directrix

the vertex is (-2,3)

the parabola opens upwards

(x-h)^2=4p(y-k)

p is the distance from the vertex to focus, the distance from (-2,3) to (-2,4) which is +1 (3 upwards to 4)

(x+2)^2=4(y-3)