June 2022 Paper 1 Q4

AQACurrent spec1 markDifferentiationSketching & Transforming Graphs

4 The graph of

\[y = \mathrm{f}(x)\]

where

\[\mathrm{f}(x) = ax^2 + bx + c\]

is shown in Figure 1.

Figure 1: an n-shaped parabola crossing the negative x-axis and the positive x-axis, with its maximum to the right of the y-axis and a positive y-intercept
Figure 1

Which of the following shows the graph of \(y = \mathrm{f}^{\prime}(x)\)?

Tick (✓) one box. [1 mark]

Four straight-line graphs, each with a tick box, from top to bottom: 1st negative gradient, positive y-intercept, crossing the positive x-axis; 2nd negative gradient, negative y-intercept, crossing the negative x-axis; 3rd positive gradient, positive y-intercept, crossing the negative x-axis; 4th positive gradient, negative y-intercept, crossing the positive x-axis
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