SOLUTION: Use the information provided to write the vertex form equation of each parabola. Vertex: (4, -4) Focus: (4, -63/16)

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Question 1026200: Use the information provided to write the vertex form equation of each parabola.
Vertex: (4, -4) Focus: (4, -63/16)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Analyzing the arrangement of the two given points, you know that the parabola has vertical symmetry axis and opens downward. You can find the value p for how far the vertex is from the focus.

The form you can use, initially, is %28x-h%29%5E2=4p%28y-k%29, and you are given the vertex, so you know that you have highlight_green%28%28x-4%29%5E2=4p%28y%2B4%29%29, and you are almost finished.

Your value for p will need to be like this until evaluated or computed:
p=-abs%28-4-%28-63%2F16%29%29, the reason for forcing it to be negative is because your parabola opens DOWNWARD and has a maximum vertex point.

You can adjust the equation into standard form from that.

Study this helpful video: Equation for a parabola, vertex NOT at origin, given direrctrix and focus