When n is an even integer (-2, 0 and 2)Legend:Red: Black: Pink: Each curve is above or on the x axis.Each curve is symmetrical about the x axis.For the pink graph, it does not cut x or y axis.When n is an odd integer (-1, 1 and 3)Legend:Blue: Brown: Black: Each curve is symmetrical about the origin.General PropertiesWhen a is constant, the graphs of are similar except that they differ in the steepness as seen in the graphs of .If a < 0, then the graph of is a reflection of the graph of in the x axis.

For or , x will be more or equal to 0 (x cannot be less than 0). y is also more than 0 as square root is taken to be positive.

Comparing concavity of curves.When , graph concaves downwards.When , graph is straight and constant.When , graph concaves upwards.

4876800173990The graph of is actually a 90 degree clockwise rotation of the graph of about the origin O.In general, the graphs of have the same properties as that of except that they differ in the steepness.Each graph passes through (0, 0) and is symmetrical about the x axis.