GRAPH - RECIPROCAL

RECIPROCAL GRAPH : y = ax^(-1) 

========================================================================

 

 The graph shows two curves in positive-positive region and negative-negative region. Graph also always has two asymptotes, one vertical and one horizontal.

Adding to the constant shifts the graph up and down. It also shifts the horizontal asymptote. Ie. The constant is the horizontal asymptote.

Negative coefficient of the value of x rotates the graph 90 degrees about the y axis. This is because y values is negative when it should have been positive.

 

Subtracting from the constant causes the graph to shift downwards

Subtracting a value from the x within the fraction translates the graph to the left by negative of this value. Also shifts vertical asymptote to this value.