Function defined by a relation in the form

*f*(

*x*) = a\({x^3}\).

The parametric form of the cubic function is

*f*(

*x*) = a(

*x* − h) + k which corresponds to a translation parallel to the coordinate axes of the base cubic function defined by

*f*(

*x*) = \({x^3}\), with, at the centre of symmetry, the coordinate point (h, k).

### Example

Here is the graph of the function defined by *f*(*x*) = −2(*x* + 1)³ − 3. It consists of the graph of the base function that has been dilated by a factor of 2, then translated so that the centre of symmetry is located at the coordinate point (−1, −3).