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

Is it: y = 1/28 x^2 ?

Answer 2

nah!

Answer 3

No? Oh. -28y=x^2? @random231

Answer 4

no you got the axis wrong.

Answer 5

it shud be y^2=28x

Answer 6

That's not an option though. These are the options:

a. y 1/28 = x^2
b. x 1/28 = y^2
c. -28y = x^2

Answer 7

@random231

Answer 8

standard form can be written
y^2 = 4 a x

where the focus is at ( a,0)

that would make it y" = 28x

but i'd have to check that out

Answer 9

But how am I supposed to answer the question?

Answer 10

if the directrix is x = -7 and focus is at (7,0) that means the parabola opens to the right
and has the general equation
y^2 = 4 a x
where (a,0) is the focus

here a = 7

so the rquired equation is

y^2 = 4*7x

ie y^2 = 28x