Question

EellusFind the composition of transformations that mapABCD to EHGF.Reflect over the y-axis, then translate(x+[?],y+[ .

Answer 1

We can use the point D and F to find the transfprmation:

`\begin{gathered} D=(-1,2),F=(0,3) \\ \text{First transformatio, reflect over the y-axis:} \\ D\to D^(\prime)=(1,2) \\ \text{Translate the point D' to F:} \\ D^(\prime)\to D^(\doubleprime)=(1+a,2+b)=(0,3) \\ 1+a=0\Rightarrow a=-1 \\ 2+b=3\Rightarrow b=1 \\ So,\text{ the translate is:} \\ (x+a,y+b)=(x-1,y+1) \end{gathered}`

The translate is (x-1, y+1).