# How do you use transformations of #f(x)=x^3# to graph the function #h(x)= 1/5 (x+1)^3+2#?

##### 1 Answer

Feb 18, 2015

Hello !

You know very well the graph of

graph{x^3 [-10, 10, -5, 5]}

Now, apply the transformations :

1) translate this curve one step on the left to obtain

graph{(x+1)^3 [-10, 10, -5, 5]}

2) Dilate this new curve with coefficient

graph{1/5*(x+1)^3 [-10, 10, -5, 5]}

3) Finally, translate this new curve 2 steps on the top to obtain

graph{1/5*(x+1)^3+2 [-10, 10, -5, 5]}