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?