Question

Find the equation of the parabola, open upwards V= (-1,-2) and length of latus rectum is 4​

Answer 1

Answer:

The set of all points in a plane that are equidistant from a fixed line and a fixed point (not on the fixed line) in the plane is a parabola. The fixed line is the ‘directrix’ and the fixed point is the ‘focus’ {Fig. 1(a)}. In simple words, it is the shape described when we throw a ball in the air.

Further, a line through the focus and perpendicular to the directrix is the axis of the parabola. Also, the point of intersection of the parabola with the axis is the vertex {Fig. 1(b)}.