Question
Find the equation of the parabola whose vertex is at (0, 0) and focus is at (0, – 2).
Solution
The vertex of the parabola is at O(0, 0) and the focus at S (0, -2). For both the points, x = 0.
The x-axis of the parabola is along x = 0 or the y-axis.
The equation of the parabola in the standard form is ...(i)
Also, the focus
Hence, the equation of the parabola is: