What are parent functions and inverse graphs?

Parent functions are the most basic, or "simplest" form of a given function with no transformations placed upon them.

For example, `y=4x^2+2x+5`

is a quadratic function. The parent is: 

`y=x^2`

The inverse graph is the graph that results from switching the (x,y) coordinates of the function.  Inverse graphs are graphs the are reflections across the y= x line.

The graphs above are inverses of each other.