Question:
find the equation of parabola with vertex at origin the axis is along x- axis and passing through (2,3)
Answer:
A parabola with its axis along the x-axis and vertex(0,0) and directrix x = -a has the equation:
y2 = 4ax ..............1
Given, point (2,3) lies on the parabola,
=> 32 = 4a * 2
=> 9 = 4a * 2
=> 9/2 = 4a
From equation 1, we get
y2 = (9/2)x
=> y2 = 9x/2
This is the required equation of the parabola.
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