8. Find the equation of the parabola that satisfies the given conditions:
Focus (0,–3); directrix
Given,in a parabola,
Focus : Focus (0,–3); directrix
Focus is of the form (0,-a), which means it lies on the Y-axis. And Directrix is of the form which means it lies above X-Axis.
These are the conditions when the standard equation of a parabola is .
Hence the Equation of Parabola is
Here, it can be seen that:
Hence the Equation of the Parabola is: