SOLUTION: Determine the equation of a parabola, in standard form satisfying the given conditions: Focus (0,2); directrix y=-2

Question 861647: Determine the equation of a parabola, in standard form satisfying the given conditions: Focus (0,2); directrix y=-2
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
You have two choices. One is to use the basic developed formulaic knowledge about a parabola. The other is to use the distance formula to derive the equation which you want.

There is a general point on the parabola, (x, y). There is the line y=-2 and there is the focus (0,2). The variable point for the directrix line is (x,-2). Can you begin to draw this and see that the vertex will be (0,0) the origin? Continue to draw a representation of this parabola, since it will also help you in the use of the distance formula.

Distance parabola to focus = Distance parabola to directrix

; Does this equation make sense to you? When it makes sense, then simplify it, and work it into solved as y in terms of x.
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-----this was a combination step,
------symmetric property

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