Posted by meg on Wednesday, April 2, 2008 at 7:57pm.
I assume you have to use the basic definition of a parabola as the set of points equidistant from the focal point (2,4) and the line y=6
Make a sketch and let P(x,y) be any point on the parabola
so √((x-2)^2 + (y-4)^2) = √(y-6)^2
square both sides
(x-2)^2 + (y-4)^2 = (y-6)^2
x^2 - 4x + 4 + y^2 - 8y + 16 = y^2 - 12y + 36
y = -(1/4)x^2 + x + 4
Related Questions
algebra - 6. Find the equation of each parabola described below. a) parabola ...
maths - Given that the equation of the parabola is 5y^2 + 24x = 0. Find (1)The ...
Pre Cal - write the equations of the parabola, the directrix, and the axis of ...
algebra - A few more question Id like for someone to check please. 1) what are ...
Math - determine vertex, focus and directrix of parabola. then graph the ...
math - determine vertex, focus and directrix of parabola. then graph the ...
algebra - How would one write the equation of a parabola whose directrix is y=-6...
Math - determine vertex, focus and directrix of parabola. then graph the ...
Algebra - Can someone tell me if I am right? I need to find the equation of a ...
MATH! Urgent - umm suppose a parabola has a vertex at (0,2) and points (1,1) how...
For Further Reading
