Spatial Exercise IV$\mathrm{.}4\mathrm{.}1.$ This is the function $po{w}_2$ and the line that intersects pow ${?}_2$ tangentially at $(2,4)$ :

$($a$)$ Sketch the reflections of $po{w}_2$ and $L$ across pow ${?}_1.$

$($b$)$ Determine the point of intersection of the reflections of these functions and the slope of $L^{-1}.$

$($c$)$ Determine a formula for $L$ and for $L^{-1}.$