Find the 3 × 3 Matrix That Produces the Described $( x , y ) \rightarrow ( x + 7 , y + 4 )$

Multiple Choice

Find the 3 × 3 matrix that produces the described transformation, using homogeneous coordinates.
- $( x , y ) \rightarrow ( x + 7 , y + 4 )$

A)
$\left[ \begin{array} { l l l } 7 & 0 & 0 \\ 0 & 4 & 0 \\ 0 & 0 & 1 \end{array} \right]$

B)
$\left[ \begin{array} { l l l } 1 & 0 & 7 \\ 0 & 1 & 4 \\ 0 & 0 & 0 \end{array} \right]$

C)
$\left[ \begin{array} { l l l } 1 & 0 & 4 \\ 0 & 1 & 7 \\ 0 & 0 & 1 \end{array} \right]$

D)
$\left[ \begin{array} { l l l } 1 & 0 & 7 \\ 0 & 1 & 4 \\ 0 & 0 & 1 \end{array} \right]$