Topical Test Additional Mathematics
Quadratics Functions
Answer all question.
1.
Diagram
1
shows
the
graph
of
3.
Find the range of the values of x for which
3x(2 x  1)  2(2 x  5) .
[3 marks]
4.
The function g(x) = (x - h)2 + k intersects the x-axis at
(1, 0) and (16, 0)
(a)
Find the values of h and k.
(b)
State the maximum or minimum value (as
appropriate) and the value of x where this
occurs.
[5 marks]
5.
Diagram
a
curve f ( x)  2( x  p) 2  q , where p and q are
constants.
3
shows
the
graph
of
a
curve f ( x)  ( x  p)  2 , where p and q are
constants.
2
Diagram 1
Given the straight line x = -3 is the axis of
symmetry of the curve and parallel to the
y-axis. Find
(a)
the value of p,
(b)
the value of q,
(c)
the turning point of the curve f (x) .
[3 marks]
2.
Diagram
2
shows
the
graph
of
Diagram 3
Find
(a)
the value of p and a,
(b)
the equation of curve f(x) is reflected along
the x-axis.
[4 marks]
a
curve g ( x)  4  2( x  h) , where h is constant.
2
6.
Find the range of the values of x for which
2(3x 2  x)  1  x .
[3 marks]
7.
Diagram 2
The curve y = g(x) has a maximum point (3, k),
where k is constant. State
(a)
the value of h,
(b)
the value of k,
(c)
the equation of the axis of symmetry. .
[3 marks]
y  x 2  2 px  5q 2  6q is
symmetrical about the line x  3 and has a
The
function
minimum value of 2
a.
By using a completing the square method,
find the values of p and q.
[5 marks]
b.
If the graph of the function is reflected over
the y-axis, find the equation of the graph.
[2 marks]