Page 25 - Ranger SPM 2022 - Additional Mathematics

Additional Mathematics SPM Chapter 2 Quadratic Functions
11. A window in the shape of a parabola on (a) Find the range of values of p.
the curved side AED is represented by (b) If the curve is symmetrical about
the function f(x) = – 1 x + 16. HOTS x = 2, find the value of p.
2
HOTS
100
E 14. The diagram below shows a boy is
f(x) = (p – 3)x – 12x + 18Sdn Bhd. All Rights Reserved.
A D throwing a stone upwards. The path
of the stone produces a quadratic
function such that y is the height of the
Form 4 B Width C 50 cm stone and x is the horizontal distance of
HOTS
the stone. HOTS
y (m)
(a) Find the maximum height of the
window. 6
(b) Find the width of the window.
12. A piece of land in the shape of a right-
angled triangle has the longest side y m x (m)
while the other two sides with length 0 6 15
(x + 6) m and (3x – 2) m. Given that the
2
perimeter of the land is 100 m, find the Given f(x) = a(x – p) + q, where a, p
value of x. Hence, determine the area of and q are constants, has a maximum
the land. HOTS point (6, 6). Find
HOTS
(a) the values of a, p and q,
13. The diagram below shows the graph (b) (i) the height of the stone at the
of quadratic function time the stone threw off from
f(x) = ( p – 3)x – 12x + 18. the boy's hand,
2
f(x) (ii) the horizontal distance of the
Penerbitan Pelangi
stone when the stone is at the
2
same height as (b)(i) again.
x
0

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