Find the equation of the parabola with focus (2, 3) and directrix y = -1. A) (y - 1)2 = 8(x - 2) B) (y - 1)2 = 4(x - 2) C) (x - 2)2 = 8(y - 1) D) (x - 2)2 = 4(y - 1)

The correct option is option (C).

The required equation of the parabola is

Step-by-step explanation:

Formula:

.

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