Aidan observes that if () = 6 − 3 f ( x ) = 6 - 3 x , then the graphs of 13() 1 3 f ( x ) and ()− 4 f ( x ) - 4 both have a y -intercept of 2 2 . Does this mean that multiplying () f ( x ) by 13 1 3 and subtracting 4 4 from () f ( x ) transform the graph in the same way? On a coordinate plane, a line goes through (0, 3) and (2, 0). Point (0, 3) is shifted down to (0, 1). (0, one-third f (0)) or (0, f (0) minus 4). CLEAR CHECK Yes. They transform the point (0, (0)) ( 0 , f ( 0 ) ) in the same way, so they will transform all other points on the graph in the same way. No. The y -intercept of 13() 1 3 f ( x ) is 2 2 , but the y -intercept of () − 4 f ( x ) - 4 is −4 - 4 . Yes. All linear graphs look the same and have the same shape. No. The point (0, (0)) ( 0 , f ( 0 ) ) is transformed in the same way, but the other points on the graph are not.