Question

Graph the image of square QRST after a translation 3 units left and 8 units down.

Answer 1

According to the question, we have two transformations:

• A translation of 3 units left.

,

• A translation of 8 units down.

These transformations indicate that we have two subtract 3 units from x-values and 8 units from y-values. Let's apply these transformations to each vertex.

`\begin{gathered} Q(1,6)\rightarrow Q^(\prime)(1-3,6-8)\rightarrow Q^(\prime)(-2,-2) \\ R(5,6)\rightarrow R^(\prime)(5-3,6-8)\rightarrow R^(\prime)(2,-2) \\ S(5,10)\rightarrow S^(\prime)(5-3,10-8)\rightarrow S^(\prime)(2,2) \\ T(1,10)\rightarrow T^(\prime)(1-3,10-8)\rightarrow T^(\prime)(-2,2) \end{gathered}`

Once we have all the new vertices, we plot them to draw the transformed figure.