0. Review of College Algebra

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?

Given segment $BC$ in the plane, what is the image of segment $BC$ after a $120$-degree clockwise rotation about point $H$?

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?

Fill in the blank(s) to correctly complete each sentence.

The graph of ƒ(x) = √-x is a reflection of the graph of y = √x across the ___-axis.

A triangle is rotated $90°$ counterclockwise about the origin. Which rule describes the transformation of a point $(x,y)$?

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

Fill in the blank(s) to correctly complete each sentence.

To graph the function ƒ(x) = x² - 3, shift the graph of y = x² down ___ units.

Given the function $f\left(x\right)$ and its image $g\left(x\right)$ where $g\left(x\right)=f(x-2)$, which transformation maps the pre-image to the image?

Graph each function. See Examples 1 and 2. ƒ(x) = 3|x|

Graph each function. See Examples 1 and 2. g(x) = ½ x²