Question 8 — IGCSE 0580 May/June 2024 Paper 41
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Functions and Graphs · Graphs of functions. Worth 15 marks.
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Question text
8 (a) On the axes, sketch the graph of y = x2+7x-18.
On your sketch, write the values where the graph meets the x-axis and the y-axis.
y
O x
[4]
(b) (i) Find the derivative of y = x2-3x-28.
................................................. [2]
(ii) Find the coordinates of the turning point of y = x2-3x-28.
( ...................... , ...................... ) [3]
© UCLES 2024 0580/41/M/J/24
17
(c) The line y = 5-2x intersects the graph of y = x2-3x-28 at point P and point Q.
Find the coordinates of P and Q.
You must show all your working and give your answers correct to 2 decimal places.
( ...................... , ...................... )
( ...................... , ...................... ) [6]
© UCLES 2024 0580/41/M/J/24 [Turn over
18
x-2
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