Page 11 - 1202 Question Bank Additional Mathematics Form 4

Section B

11. The variables x and y are related by the equation 13. The diagram shows the graph of a quadratic function.
px y
y = qx + 2 where p and q are constants. If the graph
of y against x is plotted, a curve which passes through —
9
4
1 1
point (2, 2) is obtained. If the graph of against is
y
x
1
drawn, a straight line with a gradient of is obtained. (3, 0) x
3
Find the values of 0
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(a) p, [4 marks] (a) Find the equation of the quadratic function.
(b) q. [4 marks] [4 marks]
Answer: (b) If a straight line is obtained by plotting a graph of
(a) Y against X such that the Y-intercept is equal to 3,
state the quantities represented by X and Y.
[4 marks]
Answer:
(a)
(b)

(b)

1
12. The diagram shows a straight line graph of xy against
SPM
CLONE 1 .
x 3 1
—– 14. The variables x and y are related by the equation
xy
y = hx where h is a constant.
3
(a) Convert the equation y = hx into the linear form
3
Y = mX + c. [3 marks]
(2, h)
(b) The diagram shows a straight line obtained by
plotting a graph of log y against log x.
10 10
(k, 1)
log y
10
1
– — (5, k)
0 x 3
Given that the variables x and y are related by
4x 2
y = , find the value of
5 – x 3
(a) k, [4 marks] 0 log x
10
(b) h. [4 marks] –1
Answer: Find the value of
(a) (i) log h, [3 marks]
10
(ii) k. [2 marks]
Answer:
(a)
(b)
(b) (i)

(ii)

52 Question 13:
SOS TIP The quadratic function in vertex form is y = – x – 3 2 2 + 9 5252
1
2
4
2
Then y = –x + 3x...........
Since the Y-intercept is 3, then  needs to be divided by x.

06_1202 QB AMath F4.indd 52 09/05/2022 11:33 AM