Page 7 - Modul A+1 MM Tingkatan 4

(b) Tandakan ✓ untuk menunjukkan kesan perubahan nilai a dan nilai c ke atas graf fungsi kuadratik di (a).
Mark ✓ to show the effect of the change of values of a and c on the graph of the quadratic functions in (a). TP 2
(i) Apabila nilai a bertambah, lebar graf y = ax
2
BAB 1 When the value of a increases, the width of the graph y = ax 2
2
increases narrower than the graph y = x
bertambah lebih sempit daripada graf y = x ✓
2
bertambah lebih luas daripada graf y = x
2
increases wider than the graph y = x 2
(ii) Apabila nilai c (. 0) bertambah, graf y = x + c
2
When the value of c (. 0) increases, the graph y = x + c
2
berada c unit ke atas graf y = x ✓
2
lies c units above the graph y = x 2
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berada c unit ke bawah graf y = x
2
lies c units below the graph y = x
2
(iii) Apabila nilai c (, 0) berkurang, graf y = x + c
2
When the value of c (, 0) decreases, the graph y = x + c
2
berada c unit ke bawah graf y = x
2
lies c units below the graph y = x 2 ✓
berada c unit ke atas graf y = x
2
lies c units above from the graph y = x 2
5. (a) Rajah menunjukkan graf fungsi y = x + bx. Tentukan nilai-nilai b yang sepadan dengan graf I dan II.
2
Diagram shows the graph of the function y = x + bx. Determine the values of b that correspond to graphs I and II. TP 2
2
Graf/Graph I b , 0
II y y = x 2 I

x
O
Graf/Graph II b . 0

(b) Tandakan ✓ untuk menunjukkan paksi simetri bagi
Mark ✓ to show the axis of symmetry for
(i) graf/graph I (ii) graf/graph II
b b
x = — x = —
2
2
b
b
x = – — ✓ x = – — ✓
2 2
6. Bentukkan satu ungkapan kuadratik bagi luas dalam setiap rajah yang berikut.
Form a quadratic expression for the area in each of the following diagrams. TP 3

Contoh/Example (a) (b) (x + 5) cm
x cm

(x + 3) cm (18 – x) cm x cm
(4x + 8) cm
Luas/Area Luas/Area
Luas/Area = (18 – x) × x = x + 2x(x + 5)
2
1
= — × (4x + 8) × (x + 3) = (18x – x ) cm 2 = x + 2x + 10x
2
2
2
2 2 2
1
= —(4x + 12x + 8x + 24) = (3x + 10x) cm
2
1
= —(4x + 20x + 24)
2
2
= (2x + 10x + 12) cm 2
2

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