Answer:
y = `1/8x^2.
Step-by-step explanation:
This is a parabola which opens upwards.
For any point P on the curve the distance of the point from the focus = the perpendicular distance of P from the directrix.
sqr( x^2 + ( y - 2)^2) = y - (-2) Squaring both sides:
x^2 + (y - 2)^2 = (y + 2)^2
x^2 + y^2 - 4y + 4 = y^2 + 4y + 4
x^2 - 8y = 0
x^2 = 8y
y = `1/8x^2 (answer).
