f(x) =Given any cube root function, say f(x) =^{3}√(x - h) + k

^{3}√(x - 2) + 5, compare it with the general formula to get the values of h and k. On comparing f(x) =

^{3}√(x - 2) + 5 with the general formula, you get

- h = 2
- k = 5

Now remember that in the above general formula, h is the horizontal translation and k is the vertical translation. So, first we will graph the parent function of all cube root functions, p(x) =

^{3}√x.

The graph of the parent function p(x) =

^{3}√x is as follows:

Parent cube root function |

Now in order to graph the function f(x) =

^{3}√(x - 2) + 5, so you have to translate the graph of p(x) =

^{3}√x two units right and five units up. Doing that, the graph of f(x) =

^{3}√(x - 2) + 5 is obtained,

The above graph must look stretched horizontally and vertically, but it is only translated right and up. In order to make the graph viewable, the axes has been taken such that the graph looks stretched.