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

Question 983231: Find the standard form of the equation of the parabola with a focus at (0, -2) and a directrix at y = 2.
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Use the definition of a parabola and the distance formula.

Distance of points (x,y) are equally distant from (0,-2) as from (x,2).

, not yet standard form but useful for understanding the derivation.
-----standard form.

That can also be shown as to help show how you can read the standard form equation. Vertex is (h,k) same as (0,0). The parabola has y-axis as its axis of symmetry and the parabola opens downward; the vertex is a maximum point.

RELATED QUESTIONS
1. Find the standard form of the equation of the parabola with a focus at (0, -9) and a... (answered by josgarithmetic)

The standard form equation of the parabola with focus at (2, 0), directrix... (answered by josgarithmetic,greenestamps)

1. Find the standard form of the equation of the parabola with a focus at (-4, 0) and a... (answered by josgarithmetic)

Find the standard form of the equation of the parabola with a focus at (0, 2) and a... (answered by MathLover1)

What is the standard form equation of a parabola with directrix x=-2 and focus... (answered by MathLover1)

Write the standard form of the equation of the parabola with focus at (-2, 5) and... (answered by josgarithmetic)

Write the standard form of the equation of the parabola with focus at (-2,5) and... (answered by greenestamps)

Find the equation of the parabola with a focus at (0,5) and a directrix... (answered by josgarithmetic)

Find the standard form of the equation of the parabola with a vertex at the origin and a... (answered by josgarithmetic)