Moderate -0.8 This is a straightforward graph reading exercise requiring identification of three parameters from a transformed tan graph. Students need to identify the vertical shift (c) from the asymptote positions, the period gives standard tan so a affects amplitude/reflection, and b is the horizontal shift. While it requires understanding of transformations, it's primarily pattern recognition with no calculation or problem-solving, making it easier than average.
4
\includegraphics[max width=\textwidth, alt={}, center]{80a20f05-61db-42d9-b4ba-53eea2290b2d-05_677_1591_260_278}
The diagram shows part of the graph of \(y = a \tan ( x - b ) + c\).
Given that \(0 < b < \pi\), state the values of the constants \(a , b\) and \(c\).
4\\
\includegraphics[max width=\textwidth, alt={}, center]{80a20f05-61db-42d9-b4ba-53eea2290b2d-05_677_1591_260_278}
The diagram shows part of the graph of $y = a \tan ( x - b ) + c$.\\
Given that $0 < b < \pi$, state the values of the constants $a , b$ and $c$.\\
\hfill \mbox{\textit{CAIE P1 2021 Q4 [3]}}