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]}