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Additional Mathematics Form 4 Practice 2 Quadratic Functions
Pract ice

spm 2 Quadratic Functions
Fungsi Kuadratik

FORMULAE

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–b ± b – 4ac 3. If f(x) = a(x – h) + k, then
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1. x = 2
2a Jika f(x) = a(x – h) + k, maka
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2. x – (sum of roots)x + (product of roots) = 0 vertex/ verteks: (h, k)
x – (hasil tambah punca)x + (hasil darab punca) = 0 axis of symmetry/ paksi simetri: x = h.
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5. It is given that 4 and –1 are the roots of a
PAPER 1
quadratic equation. Form a quadratic equation
Quadratic Equations and which has the roots. PL 3
Inequalities Diberi bahawa 4 dan –1 merupakan punca-
Persamaan Ketaksamaan dan punca bagi suatu persamaan kuadratik.
2.1 Kuadratik TEXTBOOK
pp. 36 – 44 Bentukkan satu persamaan kuadratik yang
mempunyai punca-punca tersebut.
1. By using the method of completing the square,
solve the quadratic equation x + 3x – 9 = 0. 6. Given a quadratic equation has the roots –5
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1
Give your answers correct to three decimal and —. PL 3
6
places. PL 3 Diberi suatu persamaan kuadratik mempunyai
Dengan menggunakan kaedah penyempurnaan 1
kuasa dua, selesaikan persamaan kuadratik punca-punca –5 dan —.
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x + 3x – 9 = 0. Berikan jawapan anda betul (a) Find the sum of roots and product of roots
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kepada tiga tempat perpuluhan. of the quadratic equation.
Cari hasil tambah punca dan hasil darab
2. By using the quadratic formula, solve the punca bagi persamaan kuadratik tersebut.
quadratic equation 13 – 4x = 2x(x – 3). Give
your answers correct to four significant figures. (b) By using the sum of roots and product
Dengan menggunakan rumus kuadratik, selesai of roots obtained in (a), form a quadratic
persamaan kuadratik 13 – 4x = 2x(x – 3). equation which has the roots.
Berikan jawapan anda betul kepada empat Dengan menggunakan hasil tambah punca
dan hasil darab punca yang diperoleh di
angka bererti. PL 3
(a), bentukkan satu persamaan kuadratik
3. Solve the quadratic equation 2x – 8x + 5 = 0. yang mempunyai punca-punca tersebut.
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Give your answers correct to four significant 7. Find the roots for –2x – 5x + 13 = 0. Give
2
figures. PL 3 your answer correct to three decimal places.
Selesaikan persamaan kuadratik 2x – 8x + 5 = 0. Cari punca bagi –2x – 5x + 13 = 0. Berikan
2
2
Berikan jawapan anda betul kepada empat jawapan anda betul kepada tiga tempat
angka bererti. perpuluhan. PL 3
4. Solve the quadratic equation –2x + 7x – 4 = 0. 8. Given one of the roots for the quadratic
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1
Give your answers correct to three decimal equation 10x + x + h = 0 is —, find the value
2
places. PL 3 of the constant h. PL 4 2
Selesai persamaan kuadratik –2x + 7x – 4 = 0. Diberi salah satu punca bagi persamaan
2
1
Berikan jawapan anda betul kepada tiga kuadratik 10x + x + h = 0 ialah —, cari nilai
2
tempat perpuluhan. pemalar h. 2
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