Question

How do you describe the transformation of `f(x)=(x-1)^3+2` from a common function that occurs and sketch the graph?

Answer 1

a translation of `x^3` by the vector
`((1),(2))`

Explanation:

In general he function

`f(x+a)+b` is a translation of `f(x)` by the vector`((-a),(b))`

for `f(x)=(x-1)^3+2` is a translation of `x^3` by the vector

`((1),(2))`

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