| Exam Board | SPS |
|---|---|
| Module | SPS SM (SPS SM) |
| Year | 2022 |
| Session | October |
| Marks | 6 |
| Topic | Completing the square and sketching |
| Type | Sketch quadratic curve |
| Difficulty | Easy -1.2 This is a straightforward two-part question on completing the square and sketching a quadratic. Both are routine A-level techniques requiring only standard algebraic manipulation and identification of vertex/intercept from the completed square form. The 6 marks total reflects basic execution rather than problem-solving depth. |
| Spec | 1.02e Complete the square: quadratic polynomials and turning points1.02n Sketch curves: simple equations including polynomials |
\begin{enumerate}[label=(\alph*)]
\item Complete the square for $1 - 4x - x^2$ [3]
\item Sketch the curve $y = 1 - 4x - x^2$, including the coordinates of any maximum or minimum points and the y intercept only. [3]
\end{enumerate}
\hfill \mbox{\textit{SPS SPS SM 2022 Q2 [6]}}