0. Review of College Algebra

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

If the graph of $y=\sin \left(x\right)$ is transformed to $y=3\sin \left(x\right)$, what is the scale factor of the dilation?

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

Given a point $(a,b)$, what are the coordinates of its image after a reflection across the line $y=-x$?

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

Triangle PQR was transformed by a reflection over the y-axis. Which of the following describes the effect of this transformation on the coordinates of each vertex?

Which of the following is the correct mapping rule for a $180°$ rotation about the origin in the coordinate plane?

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

Which function represents the reflection over the x-axis of $f\left(x\right)$?

Point T is at $(-2,5)$. What are the coordinates of point T' after reflecting over the y-axis followed by the x-axis?

Triangle xyz is reflected across the x-axis, and $x=(-11,8)$. What are the coordinates of $x\text{'}$ after the reflection?

If a transformation moves a figure to the right on the coordinate plane, what type of translation is this?

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

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?

Suppose point D has coordinates $(x,y)$. After a translation by $(3,-2)$, what is the new y-coordinate of point D?