Q6. - Algebra 2

Question

Triangle $ABC$ with vertices $A\left(1,4\right),B\left(2,-5\right),\text{ and }C\left(-6,-6\right)$ is translated 3 units right and 1 unit down.

6. Graph the preimage and the image.

Step-by-Step Solution

Answer

Graph of preimage and image is 

Step 1 - Meaning of preimage

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

Vertices of $\Delta ABC$ are $A\left(1,4\right),B\left(2,-5\right),\text{ and }C\left(-6,-6\right)$

Step 2 - Meaning of preimage

Image is the $\Delta A\text{'}B\text{'}C\text{'}$ which is the triangle formed after translation.

Vertices of $\Delta A\text{'}B\text{'}C\text{'}$ are $A\text{'}\left(4,3\right),B\text{'}\left(5,-6\right),\text{ and }C\text{'}\left(-3,-7\right)$

Step 3 - Plot both triangles

On Cartesian plane, plot the points of $\Delta ABC$ and join them to form a triangle. Then plot the points of $\Delta A\text{'}B\text{'}C\text{'}$ and join them to form another triangle.