Question

How do you describe the transformation in `y=(x+3)^2-1`?

Answer 1

`y=(x+3)^2-1" "`is a translation of `y=x" "`by the vector `" ((-3),(-1))`

Explanation:

In general

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

`((-a),(b))`

`y=(x+3)^2-1" "`is a translation of `y=x" "`by the vector `" ((-3),(-1))`