2.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{515f245f-9c5b-4263-ab2c-0a4f96f3bff0-04_1001_1481_267_221}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
Figure 1 shows a sketch of the curve with equation \(y = 4 ^ { x }\)
A copy of Figure 1, labelled Diagram 1, is shown on the next page.
- On Diagram 1, sketch the curve with equation
- \(y = 2 ^ { x }\)
- \(y = 4 ^ { x } - 6\)
Label clearly the coordinates of any points of intersection with the coordinate axes.
The curve with equation \(y = 2 ^ { x }\) meets the curve with equation \(y = 4 ^ { x } - 6\) at the point \(P\).
- Using algebra, find the exact coordinates of \(P\).
\includegraphics[max width=\textwidth, alt={}]{515f245f-9c5b-4263-ab2c-0a4f96f3bff0-05_1009_1490_264_219}
\section*{Diagram 1}