Page 12 - PRAKTIS HEBAT ADDMATHS TG4

Additional Mathematics Form 4 Practice 2 Quadratic Functions
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13. Given that f(x) = –x – x + 3p has a maximum value of 12—. PL3 Subtopic 2.3
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TEXTBOOK 4
pp. 49 – 63 1
Diberi f(x) = –x – x + 3p mempunyai nilai maksimum 12—.
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(a) Using the method of completing the square, find the value of p.
Dengan menggunakan kaedah penyempurnaan kuasa dua, cari nilai p.
(b) Hence, sketch the graph for f(x) = –x – x + 3p for –5 < x < 4.
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Seterusnya, lakarkan graf untuk f(x) = –x – x + 3p untuk –5 < x < 4.
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14. (a) Find the range of values of x if  x – 1 , 3. PL3 Subtopic 2.3
TEXTBOOK Cari julat nilai x jika  x – 1 , 3.
pp. 49 – 63
(b) Sketch the graph of the function f : x → (x – 1) – 3 for –2 < x < 4. State the range.
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Lakarkan graf fungsi f : x → (x – 1) – 3 bagi –2 < x < 4. Nyatakan julatnya.
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15. Given a function y = 3 – 4x – 5x . PL3 Subtopic 2.3
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TEXTBOOK Diberi fungsi y = 3 – 4x – 5x .
pp. 49 – 63
(a) By using completing the square, determine the turning point of the function y. State the type of
turning point obtained.
Dengan menggunakan kaedah penyempurnaan kuasa dua, tentukan titik pusingan bagi fungsi y.
Nyatakan jenis titik pusingan yang diperoleh.
(b) If x = 2 – 3r, where r is a constant, is the axis of symmetry, calculate the value of r.
Jika x = 2 – 3r, dengan keadaan r ialah pemalar, ialah paksi simetri, hitung nilai r.
(c) Hence, sketch the graph of y = 3 – 4x – 5x for –2 < x < 3.
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Seterusnya, lakarkan graf y = 3 – 4x – 5x bagi –2 < x < 3.
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16. Given that f (x) = m + nx + x = (x + p) + q. PL3 Subtopic 2.3
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TEXTBOOK Diberi f (x) = m + nx + x = (x + p) + q.
pp. 49 – 63
(a) State p and q in terms of m and/or n.
Nyatakan p dan q dalam sebutan m dan/atau n.
(b) If n = 3, state the axis of symmetry of the curve f (x).
Jika n = 3, nyatakan paksi simetri bagi lengkung f (x).
17. Given that the curve y = (x + p) – q passes through the point (1, –2) and x = 2p – 15 is the axis of
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TEXTBOOK symmetry. PL5 Subtopic 2.3
pp. 49 – 63
Diberi lengkung y = (x + p) – q melalui titik (1, –2) dan x = 2p – 15 ialah paksi simetri.
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(a) Calculate the values of p and of q.
Hitung nilai p dan nilai q.
(b) If p , 0, sketch the graph of the curve y.
Jika p , 0, lakarkan graf bagi lengkung y.
18. The curve of a quadratic function f(x) = 2(x – p) – q intersects the x-axis at points (2, 0) and (6, 0). The
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TEXTBOOK straight line y = –8 touches the minimum point of the curve. PL4 Subtopic 2.3
pp. 49 – 63
Lengkung bagi fungsi kuadratik f(x) = 2(x – p) – q menyilang paksi-x pada titik (2, 0) dan (6, 0). Garis
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lurus y = –8 menyentuh titik minimum bagi lengkung tersebut.
(a) Find the values of p and q.
Cari nilai p dan q.
(b) Hence, sketch the graph of f(x) for 0 < x < 8.
Seterusnya, lakarkan graf f(x) untuk 0 < x < 8.
(c) If the graph is reflected about the x-axis, write the equation of the curve.
Jika graf tersebut dipantulkan pada paksi-x, tulis persamaan bagi lengkung tersebut.

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