A parabola can be drawn given a focus of (5, -7) and a directrix of x=1. Write the equation of the parabola in any form.

x = 1/8(y^2 + 14y + 73)

Step-by-step explanation:

Take any point on the curve (x, y). This is a parabola that opens to the right and contains  terms in x and y^2.

The distance of this point from the focus = its distance from the directrix, so:

sqrt [( x - 5)^2 + (y + 7)^2) = (x - 1)

Squaring both sides:

(x - 5)^2 + (y + 7)^2 = (x - 1)^2

x^2 -10x + 25 + y^2 + 14y + 49 = x^2 - 2x + 1

y^2 + 14y + 73 = 8x

x = 1/8(y^2 + 14y + 73)

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if you're asking about your rank, it depends on having a certain number of points and a certain number of brainliest answers. for example, at the time of this writing, i have 44338 points out of 15000 needed for the next (nearly triple the requirement! ) but i only have 24 out of 50 required brainliest answers. this number decays, meaning after a certain amount of time (i think about a month), the total number of brainliest answers you've earned doesn't count toward this total. (i've been stuck at the same rank for a long

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f is the midpoint of