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

Question

anonymous · Answer

I know how to do these, but this question is throwing me off because the halfway point is 1/2.

amistre64 · Answer

what is the x value of the vertex?  the y value is 1/2 as you say

anonymous · Answer

@amistre64 you mean the 6?

amistre64 · Answer

the 6 is good :)

so we have a vertex at 6,.5

this is where i tend to have to do this a different way.

i know that the line y-.5 = 1/2 (x -6) has to equate to y = m(x-6)^2-.5

amistre64 · Answer

i just tend to forget the geometric parts of it is all

anonymous · Answer

Okay well I called my teacher (she finally answered) and she showed me how to do it. I have another one that I know how to work out and it's a little easier. But I might need help for the second part.

amistre64 · Answer

|dw:1383758656011:dw|