Describe an affine transformation $f \circ H_0^\lambda \circ f^{-1}$

Question

Describe an affine transformation $f \circ H_0^\lambda \circ f^{-1}$, where $H_0^\lambda$ denotes a homothety with the center $O \in \mathbb{A}^2$ and the coefficient $\lambda \in \mathbb{R}$, and $f: \mathbb{A}^2 \rightarrow \mathbb{A}^2$ is some arbitrary affine transformation. Actually quite stuck dealing with this task, could you please give some hints/direction on how should I proceed with the task?