Page 7 - PRAKTIS HEBAT ADDMATHS TG4

Additional Mathematics Form 4 Practice 2 Quadratic Functions
32. (a) It is given that one of the roots of the 35. The quadratic function f(x) = q – 6x + x ,
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2
2
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SPM quadratic equation x + (p + 2)x – p = 0 where q is a constant, has the minimum value
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where p is a constant, is negative of the 7. Find the values of q. PL 3
other. Find the value of the product of Fungsi kuadratik f(x) = q – 6x + x , dengan
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roots. PL 5 keadaan q ialah pemalar, mempunyai nilai
Diberi bahawa salah satu punca bagi minimum 7. Cari nilai-nilai q.
persamaan kuadratik x + (p + 2)x – p = 0
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dengan keadaan p ialah pemalar, adalah 36. y
negatif kepada yang satu lagi. Cari nilai
bagi hasil darab punca. y = f(x)
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(b) The quadratic equation mx – 3nx + — m = 0 (0, 16)
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where m and n are constants has two x
equal real roots. Find m : n. PL 5 (–4, 0) 0
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Persamaan kuadratik mx – 3nx + — m = 0
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dengan keadaan m dan n ialah pemalar The diagram above shows the graph of a
mempunyai dua punca nyata yang sama. quadratic function for f(x) = (x + m) + n, such
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Cari m : n. that m and n are constants. State PL 3
Rajah di atas menunjukkan graf fungsi
33. It is given that the curve y = (p – 1)x – x + 5 kuadratik f(x) = (x + m) + n, dengan keadaan
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SPM where p is a constant, intersects with the m dan n ialah pemalar. Nyatakan
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straight line y = 2x + 3 at two points. Find the (a) the values of m and n.
range of values of p. PL 5 nilai m dan n.
Diberi bahawa lengkung y = (p – 1)x – x + 5 (b) the equation of the axis of symmetry.
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dengan keadaan p ialah pemalar, menyilang persamaan paksi simetri.
garis lurus y = 2x + 3 pada dua titik. Cari
julat nilai p.
37. y
Quadratic Functions x
2.3 Fungsi Kuadratik TEXTBOOK –3 0 5
pp. 49 – 63
34. –15
y
(m, 12) The diagram above shows the graph of a
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2
quadratic function for f(x) = (x – p) – 16
where p is a constant. Find PL 3
x
–2 0 4 Rajah di atas menunjukkan graf fungsi
kuadratik f(x) = (x – p) – 16 dengan keadaan
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The diagram above shows the graph of the p ialah pemalar. Cari
function y = –(x – m) + 12, where m is a (a) the equation of the axis of symmetry.
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constant. Find PL 3 persamaan paksi simetri.
Rajah di atas menunjukkan graf bagi fungsi (b) the value of p.
y = –(x – m) + 12, dengan keadaan m ialah nilai p.
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pemalar. Cari (c) the coordinates of the minimum point.
(a) the value of m. koordinat bagi titik minimum.
nilai m.
(b) the equation of the axis of symmetry.
persamaan paksi simetri.

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