Page 7 - Top Class Mathematics F4

Mathematics Form 4 Chapter 1 Quadratic Functions and Equations in One Variable

SPM Practice 1

Paper 1 Paper 2

1. 6 – 3(4 – y) = 1. A toy rocket is fired into the air from a point O on the
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2
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SPM A y + 3 C –y + 3y – 6 SPM top of a barn. The distance between the toy rocket
2016 2014
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B –2y + 16 D –3y + 24y – 42 and the ground at t seconds after thrown is given by
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s = −5t + 10t + 20. Find the time when the toy rocket
2. Which of the following represents the change of graph of hit the ground.
function y = 2x to y = 2x – 6x? Sebuah roket mainan dilancarkan ke udara dari suatu titik O
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Antara berikut, graf yang manakah mewakili perubahan graf dia atas sebuah bangsal. Jarak antara roket mainan itu dengan
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bagi fungsi y = 2x kepada y = 2x – 6x? tanah selepas t saat dilancarkan diberi oleh s = −5t + 10t + 20.
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2
A
f(x) Cari masa apabila roket mainan itu tiba di permukaan tanah.
f(x) = 2x 2
Answer / Jawapan:
When the toy rocket hit the ground, s = 0.
Apabila roket mainan itu tiba di permukaan tanah, s = 0.
x
O Thus/ Maka,
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f(x) = 2x – 6x 2
−5t + 10t + 20 = 0
B f(x) 5t – 10t – 20 = 0
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f(x) = 2x 2 (5t + 2)(t – 5) = 0
5t + 2 = 0 , t – 5 = 0
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t = – , t = 5
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x Because of t  0, thus the toy rocket hits the ground at
O t = 5.
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f(x) = 2x – 6x
Oleh sebab t  0, roket mainan itu tiba di permukaan tanah
C f(x) pada t = 5.
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f(x) = 2x – 6x
x
O
f(x) = 2x 2
2. Solve the following quadratic equation:
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f(x) Selesaikan persamaan kuadratik yang berikut:
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f(x) = 2x – 6x –6y – 2 = 7
y 1 – y
x
Answer / Jawapan:
–6y – 2 7
O y = 1 – y
f(x) = 2x 2 (−6y − 2)(1 − y) = 7y
−6y + 6y – 2 + 2y − 7y = 0
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3. The diagram below shows the graphs of two quadratic 6y − 11y −2 = 0
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functions. (6y + 1)(y − 2) = 0
Rajah di bawah menunjukkan graf bagi dua fungsi kuadratik.
6y + 1 = 0 or y – 2 = 0
f(x) 1
y = – atau y = 2
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f(x) = –2x + 2 6
x
O
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f(x) = ax + c
What are the possible values of a and c?
Apakan nilai yang mungkin bagi a dan c?
A a = –1, c = 1 C a = –3, c = 2
B a = – 4, c = 0 D a = 2, c = 3

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