Mathematics

Reflecting a point across the parabola's axis of symmetry means flipping it over that line while keeping distances equal. For a parabola $y^2 = 36x$, the axis is the $x$-axis, so reflection swaps the sign of the $y$-coordinate. Once you have both $P$ and $Q$, the midpoint formula gives you $M$ by averaging their coordinates—this point will lie on the axis itself.

Reflecting a point across the parabola's axis of symmetry means flipping it over that line while keeping distances equal. For a parabola $y^2 = 36x$, the axis is the $x$-axis, so reflection swaps the sign of the $y$-coordinate. Once you have both $P$ and $Q$, the midpoint formula gives you $M$ by averaging their coordinates—this point will lie on the axis itself.