QUADRATIC FUNCTIONS
KELANTAN PAPER 1 2019
7 Given the quadratic function ( ) . Find the smallest value of integer of q such
that ( ) is always positive for all values of x.
8 Given that the curve ( ) ( ) [ ] intercept the x-axis at the points (2,0) and
(-4,0).
a) Express the maximum value, in terms of n, for | ( )|.
b) Find the value of m.
NEGERI SEMBILAN PAPER 1 2019
15 Diagram 5 shows the graph of quadratic functions ( ) and
( ) ( ) . Straight line CD is the axis of symmetry for both graphs.
Diagram 5
Express k in terms of p.
18 Diagram 6 shows a model of a curved skateboard ramp. The curve surface is represented by
using a quadratic function ( ), where p is the height, in metres, above the ground.
Diagram 6
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The height of the ramp is 8 m and the horizontal length is 6 m. The lowest point of the ramp
is 0.5 m above the ground. Write the quadratic function in form of ( ) ( )
19 a) Diagram 7 shows a quadratic function graph. Given the function is
( ) . Draw the position of the x-axis on Diagram 7.
Diagram 7
PERLIS PAPER 1 2019
12 Diagram 12 shows the graph of a quadratic function ( ).
Diagram 12
a) Express ( ) in the form of ( ) ( ) , where b and c are constants.
b) Given the graph of function ( ) is a reflection of the graph of ( ) on the x-axis,
state the function of ( ).
13 Find the range of values of x for which ( ) .
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PULAU PINANG PAPER 1 2019
4 Find the range of values of x for .
5 Diagram 5 shows the graph of a quadratic function ( ). The line is a tangent to
the graph.
Diagram 5
a) Write the equation of the axis of symmetry of the curve.
b) Express ( ) in the form of ( ) , where p and q are constants.
SELANGOR SET 1 PAPER 1 2019
5 The length and width of the rectangle land is m and ( ) m respectively. If the area of
2
the land is 1800 m , find the dimensions of the land.
6 b) It is given that the quadratic equation where p and q are
constants, has two equal roots. Find .
8 A square black colour paper has side length of x cm and a rectangular white colour paper has
width of x cm and length of ( ) cm. Find the range of values of x if total area for both
2 2
papers is greater than 1 cm but less than 7 cm .
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7 Diagram 7 shows the graph of a quadratic function ( ).
Diagram 7
a) State the equation of the axis of symmetry of the curve.
b) Express the equation of the quadratic function shown in the graph in the form of
( ) ( ) , where a, b and c are constants.
SELANGOR SET 2 PAPER 1 2019
6 a) Find the range of values of m such that ( ) .
7 Given the quadratic function graph ( ) .
a) Express ( ) in the form of ( ) , where b and c are constants,
b) State
(i) the equation of the axis of symmetry,
(ii) the coordinates of the minimum point.
8 The trajectory of a boy throwing a shot put follows a quadratic function ( ) for which y is
the height of the shot put and x is the horizontal distance of the shot put. Given that
( ) ( ) , where the maximum trajectory is given by coordinates of (3,3) and the
shot put will end up by the coordinates of (8,0). Find the value of a, p and q.
TERENGGANU PAPER 1 2019
3 Given (-2,5) is the maximum point of the graph of a quadratic function ( ) ( ) ,
where m and n are constants. Determine the values of m and n.
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QUADRATIC FUNCTIONS
TERENGGANU PAPER 2 2019
3 Diagram 2 shows the graph of ( ) , where p is a constant.
Diagram 2
The graph have a maximum point M and intersects the y-axis at q.
a) Find the range of values of p.
b) If (-1,-10) is a point on the graph. Find
(i) the value of q,
(ii) the coordinates of M.
KEDAH MODUL 1 PAPER 1 2018
5 The quadratic function is defined by ( ) , where k is a constant.
a) Express ( ) in the form of ( ) ( ) , where r and s are constant.
b) Given the minimum value of ( ) is 6, find the value of k.
6 Given ( ) , find the range of values of x when ( ) .
KELANTAN PAPER 1 2018
1 Given ( ) is a quadratic function where p and q are constants. State
a) the value that is impossible for p,
b) the range for q if and the graph ( ) intersects the x-axis at two
different points,
c) the equation for the axis of symmetry if .
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QUADRATIC FUNCTIONS
16
Diagram 6
In a practice session, Ahmad hit a golf ball at point A and the ball fell on point B as shown in
Diagram 6. The height of the ball, in meter, follows the function ( ) . Distance
of AQ is equal to distance of QB and distance of PQ is 25 m. Express ( ) in the form of
( ) ( ) . Hence, determine whether the golf ball will destroy the kite which is
tied on a pole at point P and give your reason.
NEGERI SEMBILAN PAPER 1 2018
11 Diagram 4 shows the graph of function and straight line on a
Cartesian plane.
Diagram 4
Determine the range of values of p.
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QUADRATIC FUNCTIONS
15 Diagram 5 shows the graph of quadratic function ( ).
Diagram 5
State the function of the graph in the form of ( ) | ( ) |.
JUJ PAHANG SET 2 PAPER 1 2018
5 Given the quadratic function ( ) ( ) has a maximum point of (6,-4). Find the
value of m and of n.
6 Diagram 6 below shows the graph of a quadratic function ( ). The straight line
is a tangent to the curve ( ).
Diagram 6
a) Express ( ) in the form of ( ) , where b and c are constants.
b) Find the value of p,
c) State the equation of axis of symmetry.
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QUADRATIC FUNCTIONS
PERLIS PAPER 1 2018
4. Diagram 4 shows a graph of a quadratic function ( ) ( ) , where p and q are
constants. A straight line is a tangent to the curve ( ).
Diagram 4
State
a) the value of p,
b) the value of q,
c) the equation of the axis of symmetry
5 Given , find the range of value of x if .
PERLIS PAPER 2 2018
2 Diagram 2 shows the side view of a bridge. The curved part at the bottom of the bridge is
supported by five steel poles. The height, in m, of each steel pole is represented by a
function ( ) , where x is the distance of a pole from the first pole and a is
constants.
Diagram 2
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QUADRATIC FUNCTIONS
Given the length of the bridge is 200 m and the height of the first pole is 5 m. Find the height
of the highest pole.
SELANGOR SET A PAPER 1 2018
11 Diagram 11 shows the graph of the quadratic function ( ) , where k
is a constant. The curve has a maximum point at , and touches the straight line .
Diagram 11
a) Express ( ) in the form of ( ) , in terms of k, where k, a, p and q are
constants.
b) Hence, state the value of p and of k.
12 Find the range of values of p for ( ).
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QUADRATIC FUNCTIONS
SELANGOR SET B PAPER 1 2018
4 Diagram 4 shows the graph of a quadratic function ( ) , where k and h are
constants.
Diagram 4
Find the values of h, of k and of p.
TERENGGANU MPP3 PAPER 1 2018
15 Diagram 15 shows the graph of a quadratic function ( ) ( ) .
Diagram 15
Given the equation of the axis of symmetry is and is the tangent to the curve.
Find
a) the range of values of a,
b) the value of p and of q.
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QUADRATIC FUNCTIONS
YIK PAPER 1 2018
5 Sketch the graph of the function ( ) ( ) on the given axes.
15 Given a quadratic function ( ) ( ) .
a) State the coordinate of the turning point of the graph of ( ).
b) Find the range of value of ( ) for .
NEGERI SEMBILAN PAPER 1 2017
18 Diagram 18 shows the graph of quadratic function ( ) ( ) .
Diagram 18
Find the range of values of p.
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19 Sketch the graph of quadratic function ( ) ( ) in the answer space and state
the turning point in your graph.
PAHANG PAPER 1 2017
1 Diagram 1 shows the graph of a quadratic function ( ) ( ) , where n is a
constant.
Diagram 1
Find
a) the roots of the quadratic equation ( )
b) the value of n
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QUADRATIC FUNCTIONS
9 Diagram 9 shows the graph of a quadratic function ( ) ( ) where p, q and r are
constants.
Diagram 9
State
a) the range of value p,
b) the value of q,
c) the value of r.
PERLIS PAPER 1 2017
4 Diagram 4 shows the graph of a quadratic function ( ) ( ) where k is a
constant. Curve of ( ) has a maximum point (p,4) where p is a constant.
Diagram 4
Find
a) value of p,
b) value of k,
c) the equation of the axis of symmetry of the curve
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QUADRATIC FUNCTIONS
5 Diagram 5(a) shows a duck livestock farm belong to Mr. Rizuan. He plans to build a
2
rectangular fence with area more than 20 m as sketch plan on Diagram 5(b).
Diagram 5(a) Diagram 5(b)
Find the range of x.
TERENGGANU BK7 PAPER 1 2016
4 Diagram 4 shows the graph of a quadratic function ( ).
Diagram 4
Find
a) the equation of the axis of symmetry,
b) the equation of the curve in general form.
5 Find the range of values of x such that ( ) is always positive.
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