Question

Triangle $DEF$ with vertices $D\left(1,4\right),\text{E}\left(2,-5\right),\text{and}F\left(-6,-6\right)$ is translated 4 units left and 2 units up.

14. Graph the preimage and the image.

Short answer

Graph of preimage and image is

Step-by-step solution

- Meaning of preimage

Preimage is the $\Delta DEF$ which is translated to other triangle

Vertices of $\Delta DEF$ are $D\left(1,4\right),E\left(2,-5\right),\text{and}F\left(-6,-6\right)$

- Meaning of image

Image is the $\Delta D\text{'}E\text{'}F\text{'}$ which is the triangle formed after translation.

Vertices of $\Delta D\text{'}E\text{'}F\text{'}$ are $D\text{'}\left(-3,6\right),E\text{'}\left(-2,-3\right),\text{and}F\text{'}\left(-10,-4\right)$

- Plot both triangles

On Cartesian plane, plot the points of $\Delta DEF$ and join them to form a triangle. Then plot the points of $\Delta D\text{'}E\text{'}F\text{'}$ and join them to form another triangle.