Question

Identify the matrix transformation of ADEF which has coordinates D(3.-2), E(4, 1), andF(7.2), for a translation 1 unit left and 2 units up. Then identify the correct vertices of theimage

Answer 1

The transformation corresponds to a shift 1 unit left and 2 units up. Then, the transformation is:

$(x,y)\to(x-1,y+2)$

In matrix form, this is:

For the three points D(3, -2), E(4, 1), and F(7, 2), we place each pair of coordinates in one column, as follows:

Finally, the full transformation is:

And the new vertices are the pairs of each column:

$\begin{gathered} D^{\prime}=(2,0) \\ E^{\prime}=(3,3) \\ F^{\prime}=(6,4) \end{gathered}$