Question

Graph the image of AUVW after a translation 1 unit left and 6 units down.

Answer 1

According to the problem, we have the following transformations:

• A translation of 1 unit left.

,

• A translation of 6 units down.

Remember that a translation to the left means we have to subtract from the x-value, and a translation down means we have to subtract from the y-value. Let's apply the transformations to each vertex.

`\begin{gathered} V(3,9)\rightarrow V^(\prime)(3-1,9-6)\rightarrow V^(\prime)(2,3) \\ U(3,-1)\rightarrow U^(\prime)(3-1,-1-6)\rightarrow U^(\prime)(2,-7) \\ W(-5,-1)\rightarrow W^(\prime)(-5-1,-1-6)\rightarrow W^(\prime)(-6,-7) \end{gathered}`

Once we have the new vertices, we proceed to plot them and draw the translated figure.