Question

Write the coordinates of the vertices after a translation 4 units left and 1 unit up.

Answer 1

Step-by-step explanation:

We were given a square with the following vertices:

`\begin{gathered} S(-6.-5) \\ T(-6,0) \\ U(-1,0) \\ V(-1,-5) \end{gathered}`

The square undergoes a translation of 4 units left and 1 unit up:

4 units LEFT means movement along the negative x-axis & 1 unit up means movement along the positive y-axis. We have:

`\begin{gathered} (x,y)^(\prime)\rightarrow(x-4,y+1) \\ \\ S^(\prime)(x,y)\rightarrow S(-6-4,-5+1) \\ S^(\prime)(-10,-4) \\ \\ T^(\prime)(x,y)\rightarrow T(-6-4,0+1) \\ T^(\prime)(-10,1) \\ \\ U^(\prime)(x,y)\rightarrow U(-1-4,0+1) \\ U^(\prime)(-5,1) \\ \\ V^(\prime)(x,y)\rightarrow V(-1-4,-5+1) \\ V^(\prime)(-5,-4) \end{gathered}`