SOLUTION: Please write an equation given vertex (-2,3) focus (-2, 8)

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Question 1010589: Please write an equation given vertex (-2,3) focus (-2, 8)
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
Using the formula and avoiding the process of deriving the equation, for the basic formula. Vertex as given means h=-2 and k=3; the focus is units above the vertex, so you know that the directrix is 5 units below the vertex, being there as .

Vertex and focus orientation indicate 4p is POSITIVE, the parabola opening UPWARD, vertex a minimum.




and plugging in coordinates for the vertex,
.
From here, adjust the form any way you need.

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