SOLUTION: A parabola has a directrix of y=-3 and a focus of (0,5). Show that the point (12,10) must lie on this parabola.

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Question 1064245: A parabola has a directrix of y=-3 and a focus of (0,5). Show that the point (12,10) must lie on this parabola.
Answer by josgarithmetic(39628) About Me  (Show Source):
You can put this solution on YOUR website!
Derive the equation for the parabola using Distance Formula and the definition of a parabola.

One example
Another example

y=%281%2F16%29x%5E2%2B1

Substitute the given coordinates to test.
10=%281%2F16%29%2A12%5E2%2B1

YES.