Question 8 — IGCSE 0580 May/June 2023 Paper 42
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Functions and Graphs · Graphs of functions. Worth 13 marks.
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Question text
8 (a) (i) Show that the equation y = (x-4)(x+1)(x-2) can be written as y = x3-5x2+2x+8.
[2]
(ii) On the diagram, sketch the graph of y = x3-5x2+2x+8, indicating the values where the
graph crosses the axes.
y
O x
[4]
© UCLES 2023 0580/42/M/J/23
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(b) The graph of y = x3-5x2+2x+8 has two tangents with a gradient of 10.
Find the equations of these two tangents.
You must show all your working and give your answers in the form y = mx+c.
y = ................................................
y = ................................................ [7]
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