If a parabola's focus is at (1, −1) and the directrix is at y = 7, what is the equation representing this parabola?

Question

amistre64 · Answer

use the definition of a parabola .. equate the distances

amistre64 · Answer

all points (x,y) that are the same distance from the focus as they are from the directrix

owlcoffee · Answer

As an addition to Amistre:
The parabola is the geometric place constituted by all the points equally distant from a fixed point called "focus" and a line called "directrix".

amistre64 · Answer

so the distance from 1,-1 and x,7  are the same

(x-1)^2 + (y+1)^2 = (x-x)^2 + (y-7)^2

amistre64 · Answer

the rest is just mathing it into submission :)

anonymous · Answer

thank you bunchessss :) I need help with one more

amistre64 · Answer

im only alloted so many smarts in one day ... :)