Question 14 — IGCSE 0580 May/June 2025 Paper 12
Cambridge IGCSE Mathematics 0580, Core tier, non-calculator. Topic: Numbers · The four rules. Worth 11 marks.
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Question text
14 (a) Complete the table of values for y = (x+3)(x-2).
x -4 -3 -2 -1 0 1 2 3
y 6 -4 -4
[3]
(b) On the grid, draw the graph of y = (x+3)(x-2) for -4 G x G 3.
y
6
5
4
3
2
1
- 4 -3 -2 -1 0 1 2 3 x
-1
-2
-3
- 4
-5
-6
-7 [4]
(cid:300)(cid:209)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:249)(cid:181)(cid:256)(cid:215)
© UCLES 2025 (cid:300)(cid:193)(cid:295)(cid:251)(cid:211)(cid:297)(cid:260)(cid:244)(cid:222)(cid:268)(cid:267)(cid:251)(cid:264)(cid:295)(cid:270)(cid:260)(cid:293)(cid:258) 0580/12/M/J/25
(cid:293)(cid:245)(cid:181)(cid:213)(cid:181)(cid:277)(cid:293)(cid:245)(cid:261)(cid:229)(cid:261)(cid:261)(cid:197)(cid:245)(cid:229)(cid:181)(cid:213)(cid:213)
M
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
* 0000800000009 *
9
(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:10)(cid:44)
(c) Write down the coordinates of the lowest point of the graph.
( ...................... , ...................... ) [1]
(d) Write down the equation of the line of symmetry of the graph.
................................................. [1]
(e) Use your graph to solve the equation (x+3)(x-2) = 3.
x = .......................................... or x = .......................................... [2]
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
N
DFD