Question

If the domain is (0, 3), (4, 5), (-2, 8) and the range is (0, 9), (12, 15), (-6, 24), what is the coordinate transformation?

Answer 1

Notice that:

$\begin{gathered} (0,9)=(3\times0,3\times3), \\ (12,15)=(3\times4,3\times5), \\ (-6,24)=(3\times-2,3\times8). \end{gathered}$

Therefore the given transformation transforms the point (x,y) as follows:

$(x,y)=(3x,3y).$

Answer:

$T(x,y)=(3x,3y).$