SOLUTION: Locate the standard form of the equation of the parabola which has the foci (8, -2) and directrix {{{x = 4}}} Sketch the parabola. Thanks a lot.

Algebra ->  Graphs -> SOLUTION: Locate the standard form of the equation of the parabola which has the foci (8, -2) and directrix {{{x = 4}}} Sketch the parabola. Thanks a lot.       Log On


   

Question 1080791: Locate the standard form of the equation of the parabola which has the foci (8, -2) and directrix x+=+4 Sketch the parabola. Thanks a lot.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Vertex is at (6,-2).
Distance from vertex to either focus or directrix is 2 units, and parabola concave to the right.

4%2A2%28x-6%29=%28y%2B2%29%5E2

highlight_green%288%28x-6%29=%28y%2B2%29%5E2%29, one form of equation for the parabola

x-6=%281%2F8%29%28y%2B2%29%5E2
x=%281%2F8%29%28y%2B2%29%5E2%2B6
x=%281%2F8%29%28y%5E2%2B4y%2B4%29%2B6
x=%281%2F8%29y%5E2%2B%281%2F2%29y%2B1%2F2%2B6
highlight%28x=%281%2F8%29y%5E2%2B%281%2F2%29y%2B6%261%2F2%29, another form of the equation