Answer
It's a parabola.
Vertex = $(9;3)$
Work Step by Step
$x=-y^2+6y$
completing square and writing in vertex form $x=a(y−h)^2+k $,
$x=-(y−3))^2+9$
The graph is a parabola and its opening to the left
vertex : $(k;h)$
=$(9;3)$
the graph is shown below
