Find the equation of the parabola given that the focus is (6,0) and directrix is x=0.
No idea as we have had no class examples but I know about cartesian transformations.
Any help would be gratefully appreciated!
dojo
Hi Dojo,
Here's one way to find it.
Your parabola will be in the form: since it has a vertical directrex.
The dirctrex equation is
So, we have [1]
The focus is at
and
So, we have [2]
Solve the system of equations [1] and [2] for h and a.
[1]
[2]
Substituting into [1],
Now, you will have everything you need to create your equation.