Inverse of a Function

How to Use this Applet

The Graphs

The sliders change the parameters c and d in the function y = af( bx ).

• The black graph is the graph of the function.
• The red graph is the graph of the inverse of the function.

The Slider Area

The sliders change the parameters a, b, h and k in the function y = af[ b( x - h )] + k.

• Drag a slider to change the value of a parameter.
• The <LEFT> and <RIGHT> arrow keys can be used to change the selected parameter [light blue].
• The <UP> and <DOWN> arrow keys can be used to increase or decrease the selected parameter. (Use this feature for fine adjustments.)
• If the arrow keys don't respond, click the cursor in the applet frame then try again.
• Drag a parameter scale to "move" it. (ie. Change the range but maintain the scale "length".)
• Drag towards or away from a parameter thumb to "re-scale" the scale.
• Select the corresponding parameter button to enter a value for a parameter.

The Graph Area

• Drag the filled blue location to move the graph of the function (and thus change parameters h and k).
• Drag a location along the graph of the function vertically to stretch the graph vertically about the line y = k (and thus change parameter a).
• Drag a location along the graph of the function horizontally to stretch the graph horizontally about the line x = h (and thus change parameter b).
• Drag the empty black location to move the reference location along the graph of the function.
• Drag the filled red location to move the reference location along the graph of the inverse of the function.
• The <SHIFT> key: Click and drag in the graph area to move the entire coordinate system.
• The <CTRL> key: Click and drag in the graph area towards or away from the origin to change the scales on both axes.

Other

• Use the "SET FUNCTION" button to select a different basic function and restore the applet to the initial state.