In the following, find the co-ordinates of the focus, axis of the parabola, the equation of the directrix and length of the latus rectum.
Solution
Short Answer
It is equation of parabola in the standard form and it open towards. Comparing the equation with we have
∴ (i) the focus is S(0, -a) (ii) the equation of axis is x = 0 (y-axis). (iii) the equation of tangent at the origin is y = 0 (x-axis) (iv) the equation of directrix is y - a = 0 or (v) the length of the latus rectum = 4a =