4 . Let f and g be functions such that g( x) � f ( 2 ( x �3 )) � 4.
( a ) The graph of f is mapped to the graph of g under the following transformations :
horizontal stretch by a factor of � , �h
� followed by a translation � �
�k
� .
Write down the value of
( i ) � ;
( ii ) h ;
( iii ) k . [ 3 ]
( b ) Let h( x) �� 5 g( x)
. The point P ( 2 , 8 ) on the graph of f is mapped to the point P� on the graph of h . Find the coordinates of P� .
[ 4 ]
© SE Production Limited 6 All Rights Reserved 2021