Question 6 — IGCSE 0580 May/June 2024 Paper 32
Cambridge IGCSE Mathematics 0580, Core tier, calculator. Topic: Geometry · Symmetry. Worth 14 marks.
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Question text
6 (a) (i) Complete the table of values for y =-x2+8x+1�
x 0 1 2 3 4 5 6 7 8
y 13 17 13 1
[3]
(ii) On the grid, draw the graph of y =-x2+8x+1 for 0 G x G 8�
y
18
16
14
12
10
8
6
4
2
0
x
0 2 4 6 8
[4]
© UCLES 2024 0580/32/M/J/24
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(iii) Write down the equation of the line of symmetry of the graph�
������������������������������������������������� [1]
1
(b) A straight line has a gradient of and passes through the point (2, 7)�
2
(i) On the grid, draw this line for 0 G x G 8�
[2]
(ii) Write down the equation of this line in the form y = mx+c�
y = ������������������������������������������������ [2]
(iii) Write down the coordinates of the points where this line intersects the graph of
y =-x2+8x+1�
( ��������������� , ��������������� ) and ( ��������������� , ��������������� ) [2]
© UCLES 2024 0580/32/M/J/24 [Turn over
12
Mark scheme
