Cubic Function
Function defined by a relation in the form f(x) = a[latex]{x^3}[/latex].
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) = [latex]{x^3}[/latex], 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).