The region bounded by the equations is attached
Features of the graph
Some of the features of the graph are
x = |y − 2|: is an absolute value relation and hence the graph will be v shaped, facing left
(y − 2)^2 = −(x − 6): this is parabolic curve, the axis of symmetry of the curve lies on the y-axis. The graph will face right since it has a negative coefficient
The points of intersections of the two curves are
(2, 0) and (2, 4)