FIG. 1 is a perspective view of a lighting system with adjustable reflector showing my new design;
FIG. 2 is a front elevation view thereof;
FIG. 3 is a rear elevation view thereof;
FIG. 4 is a bottom plan view thereof;
FIG. 5 is a top plan view thereof;
FIG. 6 is a left elevation view thereof;
FIG. 7 is a right elevation view thereof when the adjustment button is adjusted to the first gear;
FIG. 8 is another perspective view thereof when the adjustment button is adjusted to the first gear;
FIG. 9 is another right elevation view thereof when the adjustment button is adjusted to the second gear;
FIG. 10 is another perspective view thereof when the adjustment button is adjusted to the second gear;
FIG. 11 is another right elevation view thereof when the adjustment button is adjusted to the third gear; and,
FIG. 12 is another perspective view thereof when the adjustment button is adjusted to the third gear.
The broken lines in the drawings depict portions of the lighting system with adjustable reflector that form no part of the claimed design.