Specimen 2020 Paper 2 Q5

AQACurrent spec2 marksDrawing & Using GraphsSolving Quadratics

5 Here is a sketch of \(\quad y = \mathrm{f}(x) \quad\) where \(\mathrm{f}(x)\) is a quadratic function.

The graph

intersects the \(x\)-axis at \(A\ (-1, 0)\) and \(B\)
has a maximum point at \(\quad (0.5, 6)\)

Sketch of an n-shaped parabola crossing the x-axis at A (left of O) and B (right of O)

Not drawn accurately

(a) Work out the coordinates of \(B\). [1 mark]
(b) The equation \(\ \mathrm{f}(x) = k\ \) has exactly one solution.

Write down the value of \(k\). [1 mark]

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