Graphs of Power Functions
For power functions with positive integer powers:
 A power function of the form $f(x)=x^n$ is a parent function. The value of $n$ determines the shape of the graph.
 The graph of each parent function with a positive integer power contains the points $(0,0)$ and $(1,1)$.
Transformations of Power Functions
Transformations can be used to make changes to the graph of a parent function. These include translations (shifts), stretches or compressions, and reflections.
For any function $f(x)$, the function can be translated vertically $k$ units and translated horizontally $h$ units. Horizontal translations are opposite in direction from the sign: Subtracting $h$ from the input translates the graph in the positive direction, and adding $h$ to the input translates it in the negative direction.
A function $f(x)$ can also be stretched or compressed by a factor of $a$ and reflected across the $x$axis.
Vertical Translations  Horizontal Translations 

For the graph of $f(x)=x^n$ and $k>0$:

For the graph of $f(x)=x^n$ and $h>0$:

Stretches and Compressions  Reflections 

For the graph of $f(x)=x^n$ and $a>0$:

For the graph of $f(x)$:

Identify the parent function.
The first term in the polynomial is cubed.If the parent function is multiplied by $a$, where $a>1$, then the function is stretched. If $0<a<1$, then the function is compressed. The value of $a=1$ in the given function indicates that the parent function is not stretched or compressed.