Write the equation for the graph. Then select the family of functions it belongs to.

As shown in the graph:
The given function is a cubic function
The general form of the function is:
[tex]f(x)=\pm(x-h)^3+k[/tex]As the function goes up while x go to infinity
So, the sign will be ( - )
And the midpoint of the curve will be at the point ( h , k ) = ( 3 , - 2)
so, the equation of the curve is:
[tex]f(x)=-(x-3)^3-2[/tex]And it is belongs to Cubic