Problem 34 of 7
Derive the horizontal parabola equation from focus (1,-1) and directrix x=5.
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use distance equality with x-distance to directrix.
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Focus and directrix must produce a horizontal parabola with vertical directrix.
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Solution
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1. Find the vertex midway between focus and directrix.
2. Find directed p from vertex to focus.
3. Substitute into (y-k)^2=4p(x-h).
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Using vertical form for a vertical directrix.