Horizontal and Vertical Shifts
The checkboxes below show the graphs of the following common functions. The slider v adds a constant to the function, while the slider h adds a constant to x, changing its value. Click the checkboxes to show or hide the functions, and adjust the values of h and v. A gray dotted version of the function will appear as well.
1. Describe the shift when v is positive.
2. Describe the shift when v is negative.
3. Describe the shift when h is positive.
4. Describe the shift when h is negative.
5. Does the graph ever change shapes?