This application was prepared to review and examine how the graphs of a well-known function changes depending modify some constants (a,b,c, and d) in an equation.[br][br]y = a f(b x - c) + d, for example:[br][br]Let's assume, you know the graph of y = ln(x), [br]How can you construct the graph of[br]==> y = 2ln(x)[br]==> y = ln(2x)[br]==> y = 2 + ln(x)[br]==> y = ln(x + 2)[br][br]After a deep exploration, please try to state a generalization for each step you examine in each equation.[br][br]Check the instruction box to hide the instructions.

This applet can be used by teachers in a demonstration mode in the classroom or teachers can have students load it on their own computers with a worksheet to be complete for a grade.[br][br]This applet led to the creation of a more general one in the ABCron Portal called Transformations of Basic Function Families.