Q47. - Algebra 2

Question

For Exercises 45-47, use the following information.

Triangle $\mathbf{ABC}$with vertices $\mathbf{A}\left(\mathbf{0}\mathbf{,}\mathbf{2}\right)$, $\mathbf{B}\left(\mathbf{-}\mathbf{3}\mathbf{,}\mathbf{-}\mathbf{1}\right)$ and $\mathbf{C}\left(\mathbf{-}\mathbf{2}\mathbf{,}\mathbf{-}\mathbf{4}\right)$ is translated 1 unit right and 3 units up.

47. Graph the preimage and the image.

Step-by-Step Solution

Answer

The graph of the preimage and image is:

Step 1 ­- Description of step.

A translation of a figure is said to occur when a figure is moved from one location to other without having change in its size, shape or orientation.

Step 2 ­- Description of step.

The preimage is the triangle $\Delta ABC$ and the image is the triangle $\Delta A\text{'}B\text{'}C\text{'}$.

The coordinates of the preimage are: $A\left(0,2\right)$, $B\left(-3,-1\right)$ and $C\left(-2,-4\right)$.

The coordinates of the image are: $A\text{'}\left(1,5\right)$, $B\text{'}\left(-2,2\right)$ and $C\text{'}\left(-1,-1\right)$.$C\text{'}\left(-1,-1\right)$.

Step 3 ­- Graph the preimage and the image.

The graph of the preimage and image is: