Conics/ Solving equations

twins12

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Feb 12, 2010
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Use the distance formula to find the equation of the parabola whose focus is located at (1,2) and whose directrix is the line y=-10. Solve for y.
 
The distance between the directrix and the focus is 12 units. The vertex is in the middle at (1, -4).

Now, since the parabola opens in the positive y direction, it has equation \(\displaystyle (x-h)^{2}=4p(y-k)\)

Where (h,k) are the corrdinates of the vertex and p is the distance between the vertex and directrix or between the vertex and focus.

Finish?. Fill in h, k, p and solve for y.
 
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