Question

draw the following triangle after a translation 3 units to the left and 2 units down.

Explanation:

Step1: Recall translation rule

For a point $(x,y)$ in the coordinate - plane, a translation 3 units to the left and 2 units down changes the point to $(x - 3,y - 2)$.

Step2: Identify triangle vertices

Suppose the vertices of the original triangle are $(x_1,y_1),(x_2,y_2),(x_3,y_3)$. After translation, the new vertices will be $(x_1-3,y_1 - 2),(x_2-3,y_2 - 2),(x_3-3,y_3 - 2)$.

Step3: Plot new triangle

Using the new - found vertices, draw the triangle on the coordinate plane.

Since we don't have the exact coordinates of the original triangle vertices in text form, the general process is as above. If you were to do this on the given graph:

1. Locate each vertex of the original triangle.
2. Move each vertex 3 units to the left (subtract 3 from the x - coordinate) and 2 units down (subtract 2 from the y - coordinate).
3. Connect the new vertices to form the translated triangle.

Answer:

Follow the steps above to draw the translated triangle on the given coordinate - plane.