Respuesta :

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