Analysis and Approaches for IBDP Maths Ebook 1 | Page 38

Your Practice Set – Analysis and Approaches for IBDP Mathematics
(c) Find the value of p and of q .
(d) Find the y -coordinate of the point of intersection of the graphs of f and g .
[5]
[5]
3. A quadratic function f is given by
2
f ( x) ( x h)
k
� � � � .
The x -coordinate of the vertex of the graph of f is 1, and the graph crosses the y -axis
at the point (0, 3).
(a) Write down the value of h .
(b) Find the value of k .
Let
g x
2
( ) � �3x
3
� . The graph of g is obtained from f by a translation of
followed by a vertical stretch of scale factor r .
� p �
� �,
�q
�
[1]
[2]
(c) Find the value of p, of q and of r .
(d) Find the coordinates of the points of intersection of the graphs of f and g .
[6]
[8]
4. A quadratic function f is given by
2
f ( x)
ax bx c
� � � .
The vertex of the graph of f is at ( � 2, 2) , and the graph crosses the y -axis at the point
(0, 6) .
(a) Find the value of a , of b and of c .
[4]
2
Let g( x) �5x
� 2. The graph of g is obtained from f by a vertical stretch of scale
� p �
factor r , followed by a translation of � �.
�q
�
(b) Find the value of p, of q and of r .
(c) Find the coordinates of the points of intersection of the graphs of f and g .
[6]
[8]
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