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).

your answer is a

step-by-step explanation:

4*4*4*4=256

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point