Page 21 - Focus KSSM SPM 2021 TG4.5 - Maths DLP

Mathematics SPM Answers

ANSWERS

(e) (f)
Form 4 f(x) f(x)
0 x
Chapter Quadratic Functions and Equations in –4 4
1 One Variable

x
Try This! 1.1 –2 0
1. (a) Yes, the expression only has one variable, x, and the 14. x = 7
highest power of x is 2.
(b) Yes, the expression only has one variable, u, and the 15. 2 hours
highest power of u is 2. 16. The product of two consecutive odd numbers is 323. x = 17
(c) No, because the highest power of variable x is 1.
(d) No, because the highest power of variable x is 3. 17. RM24
(e) Yes, the expression only has one variable, x, and the 18. (a) No
highest power of x is 2. (b) Yes
(f) No, because the highest power of variable x is 1. (c) No
2. (a) Parabolic shape opens up with a minimum point.
(b) Parabolic shape opens up with a minimum point. SPM Practice 1
(c) Parabolic shape opens down with a maximum point.
(d) Parabolic shape opens down with a maximum point. PAPER 1
3. (a) The shape of the graph is and the width decreased. 1. C 2. A 3. D 4. B 5. A
(b) The shape of the graph is and is on the right of the
y-axis. 6. C 7. B 8. D 9. C 10. A
(c) The shape of the graph is and moves vertically PAPER 2
downwards.
4. The graph moves 12 units vertically upwards. 1. x = 2, –9
5. f(x) = 2x + 16x 3
2
2. x = , –2
2
6. f(x) = 12x + 31x + 9 5
7. (a) f(x) = 10x – 33x – 28 (b) 10x – 33x – 86 = 0 3. 30
2
2
8. (a) f(x) = 7x + 26x – 6 (b) 7x + 26x – 126 = 0 4. 0.2 m
2
2
9. (a) No (b) Yes (c) Yes (d) No 5. P(–1, 0) and Q(4, 0)
10. (a) Yes (b) No (c) Yes (d) No 6.
5 3 f(x)
11. (a) 0, 8 (b) 0, – (c) 0,
2 2
2 2 3 3 x
(d) –6, 6 (e) – , (f) – , –8 0 2
5 5 2 2
7
12. (a) –3, –5 (b) 3, –8 (c) 4, –
2
5 2 2 9 3
(d) , – (e) 6, (f) – ,
2 3 3 2 2 –8
13. (a) f(x) (b) f(x)
10 12
7
7. f(x) = – x – 28x + 112
2
4
8. x = 4
0 2 5 x 9. 304 m 2
x
–3 0 4 10. Bus A is 90 km and bus B is 120 km away from the bus station.
(c) f(x) (d) f(x) 11. 6 seconds
3 12. x = 60, h = 45
13. They have to sell 32 slices of cheese cake with the price of
x RM5 per slice or sell 40 slices of cheese cake with the price
– – 1 0 2 x
3 –1 0 3 of RM4 per slice.
–2 – 4
14. The measurement of the photo is 15 cm × 12 cm
335

12 ANS Focus SPM Math F4_ENG.indd 335 17/02/2021 5:31 PM