Find the standard form of the equation of the parabola with a focus at (0, 2) and a directrix at y = - 2

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).

12.4, 12.387, 12.26, 12.252, 6.241, 6.2, 6.015, 6.009, 1.411, 1.2, 1.056, 1.007, 0.31,   0.13, 0.5, 0.04

step-by-step explanation:

ur welcome : )