Question

Find the standard form of the equation of the parabola with a focus at (3, 0) and a directrix at x = -3.

Answer 1

any Ideas?

Answer 2

this will be a parabola passing through the origin and opening to the right

Answer 3

The general form of these is y^2 = 4ax where the focus is at (a,0)

Answer 4

in this case what is the value of a?

Answer 5

a is the x cordinate of the focus

Answer 6

so a is 3?

Answer 7

would the answer be y^2=6x? @welshfella

Answer 8

yes a is 2

so the answer is

y^2 = 4*3a