Prepared by: Pn. Hayati Aini bt. Ahmad 6 February, 2012 Page 1
TERENGGANU 2011
1. Find the range of values of if [3 marks]
2. Diagram 1 shows the graph of the function where and are constants.
(a) State the equation of the axis of symmetry.
(b) Find the value of and of . [3 marks]
3. Find the range of values of if has two different roots.[3 marks]
4. Find the range of values of for which [3 marks]
5. The quadratic equation , where is constant, has two
equal roots. Find the values of . [3 marks]
6. Diagram 2 shows the graph of the function . The curve intersects the y-axis at 10 and has the maximum point . Find
(a) the equation of the axis of symmetry
(b) the value of
(c) the value of [3 marks]
7. It is given that the quadratic function , (a) By using completing the square, express in the form of
, where and are constants. [2 marks]
(b) Find the maximum or minimum value of [1 mark]
(c) Sketch the graph for for [3 marks] (d) State the equation of the curve when the graph is reflected in the -axis.
x y
10
Prepared by: Pn. Hayati Aini bt. Ahmad 6 February, 2012 Page 2
SELANGOR 2011
8. Diagram 3 shows the graph of a quadratic equation , where is a constant. The curve has the maximum point where is a constant. State
(a) the value of
(b) the value of [2 marks]
9. Find the range of values of for which [3 marks] 10. Diagram 4 shows the graph of a quadratic function
(a) Express equation of in general form (b) Find
(i) the minimum point of by using the completing the square method
(ii) the range of values of such that
has no real roots [6 marks]
SBP 2011
11. Find the range of values of for which [3 marks] 12. Diagram 5 shows the graph of a quadratic function for . Find
(a) the value of
(b) the equation of the axis of symmetry (c) the coordinates of the minimum point
Prepared by: Pn. Hayati Aini bt. Ahmad 6 February, 2012 Page 3
SARAWAK 2011
13. Diagram 6 shows the graph of function , where is a constant. Given that the line is the tangent to the curve. Find
(a) the value of (b) the value of
(c) the equation of axis of symmetry [3 marks]
14. Find the range of values of which satisfies [3 marks] 15. Given the quadratic function .
(a) By using completing the square method, express in the form of where and are constants. [2 marks]
(b) State the minimum or maximum point [1 mark]
(c) Sketch the graph of for [3 marks] SABAH 2011
16. The quadratic function can be expressed in the form of where and are constants. Find the value of and of .
[3 marks] PERLIS 2011
17. Diagram 7 shows the graph of quadratic function for 0 where is a constant. State
(a) the value of
(b) the equation of the axis of symmetry. [2 marks]
Prepared by: Pn. Hayati Aini bt. Ahmad 6 February, 2012 Page 4
18. The quadratic function where and are constants, has a maximum point . State
(a) the range of values of (b) the values of and [3 marks] 19. Find the range of value of if and [3 marks] PERAK 2011
20. Diagram 8 shows the graph of a quadratic function . The straight line is a tangent to the curve .
(a) Write the equation of the axis of symmetry of the curve.
(b) Express in the form of , where and are constants. [3 marks]
21. Find the range of values of which satisfies [3 marks] 22. Diagram 9 shows the curve of a quadratic function . The curve
has a minimum point at and intersects the -axis at point .
(a) State the coordinates of [1 mark]
(b) By using the method of completing the square, find the value of and of . [4 marks] (c) Determine the range of values of , if
[3 marks]
PENANG 2011
23. Given that the quadratic function does not intersect the
-axis, find the range of values of . [3 marks]
PAHANG 2011
Prepared by: Pn. Hayati Aini bt. Ahmad 6 February, 2012 Page 5
N.SEMBILAN 2011
25. The quadratic function can be expressed in the form of where and are constants. Find the value of and of .
[3 marks] 26. Find the range of values of for which [3 marks] MRSM 2011
27. Diagram 10 shows the quadratic function graph , where and are constants. The graph passes through the origin and point . The maximum value of is 3 units.
(a) State the value of and of .
(b) Find value of . [4 marks]
28. Find the range of values of for which [3 marks] MELAKA 2011
29. It is given that the quadratic function (a) Write the equation of the axis of symmetry
(b) State the coordinates of the minimum point
(c) Write the equations when the graph is reflected through y-axis. [3 marks]
30. Find the range of values of for which [3 marks]
31. A quadratic function is defined by , where is a constant. (a) Express in the form of , where and are constants.
[2 marks] (b) Find
(i) the value of if the maximum value of is and
[2 marks] (ii) the range of values of if the graph of does not meet the x-axis.
Prepared by: Pn. Hayati Aini bt. Ahmad 6 February, 2012 Page 6
KELANTAN 2011
32. Find the range of values of for which [4 marks] 33. Diagram 11 shows the graph of quadratic function , where
and are constants. State
(a) the value of (b) the value of
(c) the equation of axis of symmetry [3 marks]
KEDAH 2011
34. Diagram 12 shows the graph of the function . The curve has the minimum point . State
(a) the value of (b) the value of
(c) the equation of axis of symmetry [3 marks]
35. Diagram 13 shows the curve of a quadratic function . The curve has a minimum point and intersects the -axis at point .
(a) Find the value of and of [4 marks] (b) State the coordinates of [1 mark] (c) Determine the range of values of , if
. [3 marks] Q
