Page 42 - Hybrid PBD 2022 Form 4 Additional Mathematics

Matematik Tambahan Tingkatan 4 Bab 2 Fungsi Kuadratik
15. Lakarkan kesan perubahan pemboleh ubah a, h dan k bagi graf fungsi kuadratik f(x) = a(x – h) + k.
2
2
Sketch the effects of changes in variables a, h and k of the quadratic function f(x) = a(x – h) + k . SP 2.3.4 TP4
2
f(x) = 2(x – 5) – 12
(i) Nilai a berubah kepada 1. / The value of a changes to 1.
(ii) Nilai h berubah kepada 8. / The value of h changes to 8.
(iii) Nilai k berubah kepada 0. / The value of k changes to 0.
(i) (ii) (iii)
f(x) f(x) f(x)
f(x) = 2(x – 5) – 12 f(x) = 2(x – 5) – 12 f(x) = 2(x – 5) – 12
2
2
2
k = 0
38 38 38
a = 1 h = 8
13 (5, 0)
x x x
0 2.6 7.4 0 2.6 7.4 0 2.6 7.4
(5, –12) (5, –12) (8, –12) (5, –12)
(a) f(x) = –2(x + 1) + 8
2
(i) Nilai a berubah kepada –5. / The value of a changes to –5.
(ii) Nilai h berubah kepada –3. / The value of h changes to –3.
(iii) Nilai k berubah kepada 10. / The value of k changes to 10. xAll Rights Reserved

(i) f(x) (ii) f(x) (iii) f(x)
(–1, 10)
(–1, 8) (–3, 8) (–1, 8)
(–1, 8)
6 6 f(x) = –2(x + 1) + 8 6 f(x) = –2(x + 1) + 8
2
2
2
f(x) = –2(x + 1) + 8
x x
–3 0 1 –3 0 1 –3 0 1

2
(b) f(x) = (x + 2) + 4
(i) Nilai a berubah kepada 2. / The value of a changes to 2.
(ii) Nilai h berubah kepada 1. / The value of h changes to 1.
(iii) Nilai k berubah kepada 2. / The value of k changes to 2.
(i) Penerbitan Pelangi Sdn Bhd. (iii) f(x)
(ii)
f(x)
f(x)
2
2
f(x) = (x + 2) + 4 f(x) = (x + 2) + 4 f(x) = (x + 2) + 4
2
8 8 8
(–2, 4)
(–2, 4) (–2, 4) (1, 4)
(–2, 2)
x x 0 x
0 0
(c) f(x) = –3(x – 2) + 5
2
(i) Nilai a berubah kepada –1. / The value of a changes to –1.
(ii) Nilai h berubah kepada –3. / The value of h changes to –3.
(iii) Nilai k berubah kepada –2. / The value of k changes to –2.
(i) f(x) (ii) f(x) (iii) f(x)
(2, 5) (2, 5)
(–3, 5) (2, 5)
x
0 0.7 3.3 0 0.7 3.3 x 0 0.7 3.3 x
2, –2
–7 –7
–7
2
f(x) = –3(x – 2) + 5 2 f(x) = –3(x – 2) + 5
2
f(x) = –3(x – 2) + 5

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02 Hybrid PBD Mate Tambahan Tg4.indd 24 29/09/2021 3:25 PM