The Warp Modifier rotates the mesh vertices as a function of distance around an axis. 

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To actually be a warped surface, the axis of the Widget for the Warp Modifier needs to be at an angle to a reference plane such as a flat disk.

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Name: Set a name that allows you to identify this modifier easily.

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Enabled: When this flag is turned off, the Warp Modifier is switched off.

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Deg: If set, the the rotation as a function of distance in the Magnitude Graph is given in degrees per unit distance. When switched off, then it will be radians per unit distance.

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Magnitude: Opens the function graph to set how the rotation angle is as a function of distance from the local coordinate system set by the Widget.

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Widget: The Widget opens the Widget Dialog. It allows you to change the direction of the Warp Modifier. The turquoise arrow indicates the direction around which the rotation will be performed. In the example it was rotated around the original x-axis by 30 degrees.