Question

How do you describe the transformation of `f(x)=(x+3)^3-10` from a common function that occurs and sketch the graph?

Answer 1

see below

Explanation:

in general

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

so

`f(x)+(x+3)^3-10" is a translation of "`

`f(x)=x^3 graph{(x+3)^3-10 [-58.5, 58.54, -29.27, 29.3]} " by the vector"((-3),(-10))`