The ornamental design for a parentunit for babymonitor, as shown.
FIG. 1 is a perspective view showing a parent unit for baby monitor;
FIG. 2 is a front elevational view thereof;
FIG. 3 is a rear elevational view thereof;
FIG. 4 is a right side elevational view thereof;
FIG. 5 is a left side elevational view thereof;
FIG. 6 is a top plan view thereof; and,
FIG. 7 is a bottom plan view thereof.
The portions of the parent unit for baby monitor shown in broken lines are included for the purpose of illustrating unclaimed portions of the parent unit for baby monitor and form no part of the claimed design.