By using transformations sketch the graph of the given functions.

                                         h ( x ) = ( x + 2)³

Solution

With these we have to first identify the "base" function. i.e. the function that's being shifted.  In this case it seem like we are shifting f ( x ) = x³ . Then we can see that,

                                           h ( x ) = ( x + 2)³ =   f (x + 2)

In this case c = 2 and thus we're going to shift the graph of f ( x ) = x³  (the dotted line on the graph below) & move it 2 units to the left. It will mean subtracting two from the x coordinates of all the points on f ( x ) = x³ .

Following is the graph for this problem.