A ray of light moving parallel to the $x-$axis gets reflected from a parabolic mirror whose equation is ${\left(y-2\right)}^2=4\left(x+1\right)$.  After reflection, the ray must pass through the point

$\text{ Given parabola is }(y-2{)}^2=4(x+1)$

$\text{ focus of the given parabola is }(0,2)$

A ray parallel to the axis of a parabola after reflection from the parabolic mirror passes through the focus which is $\left(0,2\right)$.