Axis of a parabola is and vertex and focus are at a distance and , respectively from the origin. Then, equation of the parabola is
Explanation for correct option:
Step-1: Draw the figure with the help of given data.
Since, given vertex is at and focus is at from the origin therefore we can consider coordinate of the vertex is
and coordinate of the focus is
equation of directrix is
Step-2: Finding equation of parabola.
Let, variable point on parabola is .
According to definition.
Distance from variable point to focus Distance from variable point to directrix.
Step-3: Replace
Hence, correct answer is option .