| Exam Board | AQA |
|---|---|
| Module | Paper 1 (Paper 1) |
| Year | 2022 |
| Session | June |
| Marks | 1 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Curve Sketching |
| Type | Curve from derivative information |
| Difficulty | Easy -1.2 This is a straightforward multiple-choice question requiring students to recognize that the derivative of a quadratic (parabola) is linear, and to identify that a positive-coefficient parabola has a positive-gradient line as its derivative. This tests basic understanding of differentiation with minimal calculation or problem-solving required. |
| Spec | 1.07b Gradient as rate of change: dy/dx notation1.07c Sketch gradient function: for given curve |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| Graph showing a line from upper-left going down steeply, crossing x-axis and continuing below, with a sharp change in gradient (V-shape or similar discontinuity) | R1 (AO2.2a) | Ticks the correct box |
**Question 4:**
| Answer | Marks | Guidance |
|--------|-------|----------|
| Graph showing a line from upper-left going down steeply, crossing x-axis and continuing below, with a sharp change in gradient (V-shape or similar discontinuity) | R1 (AO2.2a) | Ticks the correct box |4 The graph of
$$y = \mathrm { f } ( x )$$
where
$$f ( x ) = a x ^ { 2 } + b x + c$$
is shown in Figure 1.
\begin{figure}[h]
\begin{center}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\includegraphics[alt={},max width=\textwidth]{22ff390e-1360-43bd-8c7f-3d2b58627e91-04_618_634_810_703}
\end{center}
\end{figure}
Which of the following shows the graph of $y = \mathrm { f } ^ { \prime } ( x )$ ?
Tick $( \checkmark )$ one box.\\
\includegraphics[max width=\textwidth, alt={}, center]{22ff390e-1360-43bd-8c7f-3d2b58627e91-05_2272_437_429_557}\\
□\\
\includegraphics[max width=\textwidth, alt={}, center]{22ff390e-1360-43bd-8c7f-3d2b58627e91-05_117_117_1151_1133}\\
□\\
□
\hfill \mbox{\textit{AQA Paper 1 2022 Q4 [1]}}