Question

Find the equation of the parabola with focus (2,0) and directrix x = – 2.​

Answer 1

Answer:

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Answer 2

Since focus lies on x-axis.

Hence equation is either:

y2(y square)=4ax

or

y2(y square)=-4ax

Now the focus has a positive x coordinate.

So, we have to use equation

y2(y square) =4ax.

Coordinates of focus =(a,0)

(2,0)=(a,0)

Hence

a=2

Required equation is

y2(y square)=4ax

y2(y square) =4.2.x

y2(y square)=8x.