3. write the equation of a parabola with focus (-2,4) and directrix y=2 . show your work, including a sketch.

Equation of parabola with focus (f₁, f₂) and directrix ax+by+c=0 is:



So we have:

focus: (-2,4)  ⇒  f₁ = -2, f₂ = 4
directrix: y = 2  ⇒  y - 2 = 0  ⇒  0x + 1y - 2 = 0  ⇒  a = 0, b = 1, c = -2

and equation:



I don't know which equation of a parabola you know, so i used general one (the one that always works).