Derive the equation of the parabola with a focus of (-5,-5) and a directrix of y=7.

Step-by-step explanation:

The given parabola has its focus at (-5,-5) and the directrix is at: y=7.

The equation of such parabola is given by the formula:

The vertex of the parabola is the midpoint of (-5,-5) and (-5,7).

The value of p is the distance from the (-5,-5) to (-5,1).

p=|1--5|=6

We substitute the values of the vertex and p into the equation to get;

Or

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step-by-step explanation: