Question
Find the equation of the parabola that satisfying the following condition:
Vertex at (0,0), focus on the positive x-axis and length of latus rectum
Solution
The vertex is (0, 0) and the focus on positive x-axis is S (a, 0), a>0
∴ Equation of parabola is ...(i)
Latus rectum = 4a = (∵ a > 0)
Hence, from (i), the equation of parabola is: