Question

Part "c" is the only part I need assistance with. Is anyone available to help with this question?

Answer 1

`\begin{equation*} \begin{bmatrix}{4} & {6} & {3} \\ {-5} & {-1} & 1 \\ {} & {} & {}\end{bmatrix} \end{equation*}`

Step-by-step explanation

We want to translate triangle ABC by 2 units right and 4 units down.

To do this, we have to add 2 to the x-coordinates and subtract 4 from the y-coordinates of the vertices of the triangle.

In other words, add 2 to each value in the first row and subtract 4 from each value in the second row.

That is:

`\begin{gathered} \begin{bmatrix}{2+2} & {4+2} & {1+2} \\ {-1-4} & {3-4} & {5-4} \\ {} & {} & {}\end{bmatrix} \\ \\ \begin{bmatrix}{4} & {6} & {3} \\ {-5} & {-1} & 1 \\ {} & {} & {}\end{bmatrix} \end{gathered}`

That is the answer.