(a)[1]
Reflect flag $H$ across the $x$-axis.
(b)[2]
Translate flag $G$ using the vector $\begin{pmatrix}1 \\ -3\end{pmatrix}$.
(c)[3]
Describe fully the single transformation that takes flag $G$ onto flag $H$.
(d)[3]
Describe fully the single transformation that takes flag $F$ to flag $G$.