Which of the following sets of transformations will map rectangle $ABCD$ onto itself?

Which of the following transformations appears to be a translation of the graph of $y=\sin \left(x\right)$?

Given triangle $△\mathrm{QRS}$ is mapped onto triangle $△Q^{\text{'}}{R}^{\text{'}}{S}^{\text{'}}$, which type of transformation could map $△\mathrm{QRS}$ to $△Q^{\text{'}}{R}^{\text{'}}{S}^{\text{'}}$?

Which set of transformations is needed to graph $f\left(x\right)=-2\sin \left(x\right)+3$ from the parent sine function?

Given the point $A(5,2)$, what are the coordinates of $A\text{'}$ after reflecting across the line $x=3$?

Given a pentagon with vertex $B$ at $(2,3)$, what are the coordinates of $B\text{'}$ after the pentagon is rotated $90°$ counterclockwise about the origin?

Given triangle $f$ on the coordinate grid, which triangle represents a translation of triangle $f$?

Given the function $y=\sin (x-2)+3$, what are the values of the vertical shift $k$ and the phase shift $h$?

Given that one vertex of a polygon is located at $(3,-2)$ and after a rotation it is located at $(2,3)$, what is the angle and direction of the rotation about the origin?