| Exam Board | SPS |
|---|---|
| Module | SPS SM (SPS SM) |
| Year | 2025 |
| Session | October |
| Marks | 3 |
| Topic | Curve Sketching |
| Type | Basic factored form sketching |
| Difficulty | Moderate -0.8 This is a straightforward graph sketching question requiring identification of roots (x = k with multiplicity 2, x = -2k), y-intercept (2k³), and basic cubic shape knowledge. It's simpler than average A-level questions as it involves routine algebraic manipulation and standard curve sketching with no problem-solving or novel insight required. |
| Spec | 1.02n Sketch curves: simple equations including polynomials |
Sketch the graph of
$$y = (x - k)^2(x + 2k)$$
where $k$ is a positive constant.
Label the coordinates of the points where the graph meets the axes.
\includegraphics{figure_6}
[3]
\hfill \mbox{\textit{SPS SPS SM 2025 Q6 [3]}}