11 Fig. 11 shows the graph of \(y = a x ^ { 2 } + b x + c\).
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{4c556b8e-1a19-4480-bf2a-0ef9e67f98b4-4_572_1509_465_285}
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\caption{Fig. 11}
\end{figure}
- Explain why a must be negative.
- State two factors of \(y = a x ^ { 2 } + b x + c\).
- Hence, or otherwise, find the values of \(a , b\) and \(c\).
Another function is given by \(y = x ^ { 2 } - 4 x + 10\).
- Write this in completed square form.
- Explain why the graphs of these two functions never meet.