How can i find the focus of the parabola/arc if i know the equation
(y= {1/125}x^2) and the distance between the endpoints (100m).
I've looked for an explanation but i havent been able to find a good one, if someone can point to an easy to understand website that'd be great. THx
Hello, ijleyton!
How can i find the focus of the parabola if i know the equation: .y .= .(1/125)x²
We already know that the parabola opens upward and its vertex is the origin.
The general form (for this parabola) is: .x² .= .4py
. . where p is the distance from the vertex to the focus.
Your parabola is: .x² .= .125y
Hence: .4p = 125 . .→ . .p = 125/4
Therefore, the focus is at: .(0, 31¼)