June 2025 Paper 3 Q5

AQACurrent spec2 marksQuadraticsSketching & Transforming Graphs

5 The diagram shows the graphs of \(y = 2x\) and \(y = (x - 3)(x + 4)\).

The line y = 2x through the origin and the U-shaped parabola y = (x − 3)(x + 4) crossing the x-axis at −4 and 3; the line meets the parabola twice

The region R is defined by the inequalities

\[(x - 3)(x + 4) \leqslant y \leqslant 2x \ \textbf{ and } \ x \leqslant 0\]

Shade the region R on the diagram. [2 marks]

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