## anonymous one year ago Derive the equation of the parabola with a focus at (6, 2) and a directrix of y = 1.

1. anonymous

Deriving equation of the parabola with focus and directrix requires you to use the combined distance formula $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(y_2-y_1)^2}$ Plug in the focus on the left side of the equation and plug in the directrix on the right side.

2. anonymous

would it be 1/2(x-6)^2+3/2 ?

3. anonymous

@izuru

4. anonymous

Okay so first you substitute your information into the equation. What you do next is to remove the radicals. After you've removed the radicals, distribute the y-term binomials. Simplify and then isolate the x terms. Lastly, isolate the y term to get the equation.

5. anonymous

And yes that's the correct answer, sorry just explaining the process

6. anonymous

okay thank you!

7. anonymous

You're welcome!