This graph represents the basic reciprocal function shifted horizontally 1 unit to the right. The vertical asymptote shifts 1 unit to the right as well, while the horizonatal asymptote remains on the x-axis. Notice that the -1 is within the denominator.

The anchor points:
(-1,-1) (1,1) become (0,-1) (2,1).
The x components of the coordinates shift 1 unit in the positive direction.

Click on "original function" above to compare this graph to the basic reciprocal graph.

A positive number will result in a horizontal shift to the left. Unsure of horizontal shift? Read about graphing using transformations.