Question

What is the domain and range of `y = 2(x-1)^2 - 6`?

Answer 1

As for the domain of `x` there are no restrictions (no roots, no fractions)

Explanation:

As for the range :
Since a square like `(x-1)^2` can never be negative,
this limits the range to `[-6,oo)`
the `-6` happening when `x=1`
graph{2(x-1)^2-6 [-16.02, 16.02, -8.01, 8.01]}