3 . A quadratic function f is given by f x
2
( ) ( x 1 ) 4 � � � � .
Let gx ( ) be another quadratic function . The graph of g is obtained from f by a ��1� translation of � �.
��3�
1
( a ) Find gx ( ), giving the answer in the form
Let h x factor r .
2
( ) � �3x
3
( b ) Find the value of r .
2 a( x m) n � � .
� . The graph of h is obtained from g by a vertical stretch of scale
[ 3 ]
[ 2 ]
4 . A quadratic function f is given by
2 f ( x) � x � 4x � 6 .
Let gx ( ) be another quadratic function . The graph of g is obtained from f by a vertical stretch of scale factor 5 .
( a ) Find gx ( ), giving the answer in the form
2 ax �bx � c .
( b ) Write down the coordinates of the vertex of gx ( ).
Let h x
2
( ) 5 ( 3x
2 ) 2 � � � . The graph of h is obtained from g by a horizontal stretch of scale factor 1 p followed by a translation of �0 �
� �.
�q �
( c ) Find the values of
( i ) p ;
[ 2 ]
[ 2 ]
( ii ) q . [ 4 ] www . seprodstore . com
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