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Foundation November 2018 Paper 2 Q27

EduqasFoundationCurrent spec5 marksDrawing & Using GraphsSolving Quadratics

27. A sketch of a graph representing the equation \(y = 3 + 2x - x^2\) is shown below.

Sketch of the curve y = 3 + 2x − x squared: crosses the x-axis at −1 and 3, crosses the y-axis at 3, maximum at (1, 4)
(a) Find the \(y\)-coordinate when \(x = 0\). [1]
(b) Find the \(y\)-coordinate when \(x = -3\). [1]
(c)

Give the coordinates of the point where the sketch shows a gradient of zero. [1]

( ……… , ……… )

(d) Find the coordinates of all points for which \(3 + 2x - x^2 = 0\). [2]
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