Question

Find the standard form of the equation of the parabola with a focus at (7, 0) and a directrix at x = -7.

Answer 1

where would the vertex be located?

Answer 2

i have no idea,

y2 = 2x

y = x2

y2 = 8x

y = x2,
but these are the options, but idk how to do it

Answer 3

there is a geometric construct .... but i never really remember it:

the setup suggest that this is a parabola on its side ... the focus is on the x axis

Answer 4

that narrows it doe to 2 possibilities of y^2 = ____

Answer 5

Ok, so I know the standard form of the equation of a parabola with a horixontal axis and vertex at (h,k) is (y-k)^2=4p(x-h), where p is not equal to zero. And the focus and directrix are each p units away from the vertex... but thats all I understood