2. Coordinate Geometry

Coordinate Transformations — Quiz

Test your understanding of coordinate transformations with 5 practice questions.

Practice Questions

Question 1

If a point $(x, y)$ is translated by the vector $\begin{pmatrix} a \\ b \end{pmatrix}$, what are the new coordinates of the point?

Question 2

What is the effect on the equation of a graph when it is translated by $\begin{pmatrix} h \\ k \end{pmatrix}$?

Question 3

If a point $(x, y)$ is reflected across the x-axis, what are its new coordinates?

Question 4

What are the new coordinates of a point $(x, y)$ after reflection across the y-axis?

Question 5

A graph of $y = f(x)$ is reflected across the x-axis. What is the equation of the transformed graph?