, find如图，曲线方程式是y = p– (x–q)
, 求
(a) the values of p and q
p 和 q 的值，
(b) the maximum value of y.
y 的最大值
Answer:
(b) 1
Given that 2x + ax + b has a minimum value 3 when x = 2. Find the values of a and b.
已知2x + ax + b 在 x = 2 时有最小值 3. 求a 和 b的值.
Answer:
Find the minimum or maximum value of 9 + 5x – 3x and state where it occurs.
求9 + 5x – 3x 的最大或最小值，并写出它出现在何处。
Answer:
, when当 x=
[4]
+ 2, where k is a constant. Find如图所示为函数y = (x – k)
+ 2, 其中k是常数。求
(a) the value of k,
k的值，
(b) the equation of the axis of symmetry,
对称轴的方程式，
(c) the coordinate of the minimum point.
最低点的坐标。
Answer:
(b) x = 3
(c) (3, 2)
If y = 2x + 5x + 4, find the range of
若y = 2x + 5x + 4, 求 的范围。
Answer:
If the sum of two numbers is 18, find the minimum value of the sum of their square.
若二数的和是18，求其平方和的最小值。
Answer:
The function g(x) = 
+ 4hx – 5h– 1 has a maximum value of –k – 2h, where h and k are constants.
函数g(x) = + 4hx – 5h– 1 的最大值是 –k – 2h, 其中h 和 k是常数。
(a) By completing the square, show that k = h – 1.
用配方法证明k = h – 1.
(b) Hence, find the value of h and k if the graph of the function g(x) is symmetrical about x = k – 1, such that h 
0.
据此，求h 和 k 的值若函数 g(x) 的图像对称于 x = k – 1, 以至于 h 0.
Answer:
[8]
– qx – x – 3 and g(x) = -2x + 4x + 3p, and they meet at x axis已知 f (x) = x
– qx – x – 3 和 g(x) = -2x + 4x + 3p, 且它们在 x 轴相遇
(a) find the values of p and q,
求 p 和 q的值，
(b) the minimum value of f (x),
f (x)的最小值，
(c) the maximum value of g(x).
g(x)的最大值。
Answer:
(b) –4
(c) 8
Find the range of values taken by 
for all values of x.
求对所有的x值， 的范围。
Answer:
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