Question

Find the equation of the parabola that satisfies the following conditions: Focus $(6,0)$; directrix $x=-6$

Answer 1

Focus $=(6,0)$; directrix $x=-6$
Since the focus lies on the $x$-axis and directrix is to the left of $y$-axis.
So, the axis of the parabola is $x$-axis
Therefore the equation of the parabola is either of the form $y^2=4ax$
Here , $a=6$
Thus, the equation of the parabola is $y^2=24x$