ABSTRACT
From the graph of y= f (x) it is possible to deduce the graphs of other functions which are transformations of y= f (x). For example, knowing the graph of y= f (x), can help us draw the graphs of y=a f (x), y= f (x)+a, y= f (x +a), y= f (ax), y =− f (x)and y= f (−x). (i) y=af (x) For each point (x1, y1) on the graph of y= f (x) there exists a point (x1, ay1) on the graph of y=a f (x). Thus the graph of y=a f (x) can be obtained by stretching y= f (x) parallel to the y-axis by a scale factor ‘a’.
