Observe Changes in Functions
- Author:
- A B Cron
- Topic:
- Functions
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.
y = a f(b x - c) + d, for example:
Let's assume, you know the graph of y = ln(x),
How can you construct the graph of
==> y = 2ln(x)
==> y = ln(2x)
==> y = 2 + ln(x)
==> y = ln(x + 2)
After a deep exploration, please try to state a generalization for each step you examine in each equation.
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.
This applet led to the creation of a more general one in the ABCron Portal called Transformations of Basic Function Families.