| Exam Board | SPS |
|---|---|
| Module | SPS FM (SPS FM) |
| Year | 2023 |
| Session | October |
| Marks | 6 |
| Topic | Function Transformations |
| Type | Identify transformation from equations |
| Difficulty | Easy -1.3 This question tests basic curve sketching of a standard reciprocal function and simple transformations (horizontal translation and horizontal stretch). All parts are routine recall and application of standard transformation rules with no problem-solving or novel insight required. The reciprocal function is one of the most fundamental curves students learn, making this significantly easier than average A-level content. |
| Spec | 1.02o Sketch reciprocal curves: y=a/x and y=a/x^21.02w Graph transformations: simple transformations of f(x) |
\begin{enumerate}[label=(\roman*)]
\item Sketch the curve $y = -\frac{1}{x}$. [2]
\item The curve $y = -\frac{1}{x}$ is translated by 2 units parallel to the x-axis in the positive direction. State the equation of the transformed curve. [2]
\item Describe a transformation that transforms the curve $y = -\frac{1}{x}$ to the curve $y = -\frac{1}{3x}$. [2]
\end{enumerate}
\hfill \mbox{\textit{SPS SPS FM 2023 Q3 [6]}}