Answer
$\left[\begin{array}{ccc}1 & .25 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right]$
Work Step by Step
We know that the representation in homogeneous coordinates can be written as a partitioned matrix of the form $\left[\begin{array}{cc}A & 0 \\ 0^{T} & 1\end{array}\right],$ where $A$ represents the linear transformation.
From example $2, A=\left[\begin{array}{cc}1 & .25 \\ 0 & 1\end{array}\right]$
The representation of the transformation with respect to homogeneous coordinates is $\left[\begin{array}{ccc}1 & .25 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right]$
