Question 5 — IGCSE 0580 March 2024 Paper 32
Cambridge IGCSE Mathematics 0580, Core tier, calculator. Topic: Geometry · Symmetry. Worth 15 marks.
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Question text
5 (a) (i) Complete the table of values for y =-x2+5x+7.
x -1 0 1 2 3 4 5 6
y 11 11 1
[3]
(ii) On the grid, draw the graph of y =-x2+5x+7 for -1 G x G 6.
y
14
13
12
11
10
9
8
7
6
5
4
3
2
1
– 1 0 1 2 3 4 5 6 x
[4]
(iii) (a) Write down the equation of the line of symmetry of the graph.
................................................. [1]
(b) The points (-8, -97) and (t, -97) also lie on the graph of y =-x2+5x+7.
Use symmetry to find the value of t.
t = ................................................. [1]
© UCLES 2024 0580/32/F/M/24
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(b) Write down the gradient of the line y = 9x-4.
................................................. [1]
(c) Write down the equation of a line parallel to y =-5x+19.
y = ................................................. [1]
(d)
y
7
6
L
5
4
3
2
1
– 4 – 3 – 2 – 1 0 1 2 3 4 x
– 1
– 2
– 3
Find the equation of line L in the form y = mx+c.
y = ................................................. [2]
(e) Make x the subject of the formula y = mx+c.
x = ................................................. [2]
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