Question

How can I find the equation of a parabola with focus (1,1) and directrix y=-x ?

Answer 1

find the equation for it with a directrix at y=0 and then rotate the points by 45 degrees

Answer 2

directrix at y is equal to 0 and then you have to rotate the points by 45 degres

Answer 3

the distance from 1,1 to 0,0 is sqrt(2) so address the problem as a parabola with focus are (0,sqrt(2)) and directrix at y=0

Answer 4

What amistre 64 said! :D

Answer 5

there might be an easier way to do it, but I cant recall the details :)

Answer 6

y^2=2sqrt(2)*(x-sqrt(2)/2)

So that is the equation for the parabola opening to the right.

Now I don't know how to rotate that equation.