Find the equation of a parabola with focus F(-1,-13) and directrix y=-9

We are asked to write the equation of parabola with focus and directrix .

Let us say that point (x,y) is on parabola.

We know that any point on parabola is equidistant from focus and directrix. Using distance formula we will get:

Square both sides:

Therefore, our required equation would be .

step-by-step explanation:

a child is 12 years old, and his father is 32 years older. in how many years will the age of the father be 2 times the age of the child?

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this needs to be the answer format, or else your answer is incomplete.

if the number of years is x, then the equation is

in __ years