5 . The graph of f is given by f ( t) � asin b( t �2.5 ) � d , a � 0 , t � 0 .
When t � 2, there is a maximum value of 37 , at P . When t � 11, there is a minimum value of � 5 . The graph of f is strictly decreasing at 2 �t
� 11.
� ( a ) Show that f ( t) � 21sin ( t � 2.5 ) � 16 .
9 [ 5 ]
The graph of f is then transformed to the graph of g by a horizontal stretch
� of scale factor 3 , followed by a translation of 17 � � �. Let P� be the image of P . � 8 �
( b ) Find the coordinates of P� . [ 2 ]
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