Answer:
Step-by-step explanation:
The correct option is option (C).
The required equation of the parabola is
Step-by-step explanation:
Formula:
The distance of a point (x₁,y₁) from a line ax+by+c=0 is
.
The distance between two points (x₁,y₁) and (x₂,y₂) is
Given that, the focus of the parabola is (2,3) and directrix y= - 1.
We know that, a parabola is the locus of points that equidistant from the directrix and the focus.
Let any point on the parabola be P(x,y) .
The distance of P from the directrix is
=y+1
The distance of the point P from the focus (2,3) is
According to the problem,
The required equation of the parabola is