# How do you find the domain and range of y = 2(x-3)² - 1 ?

Jul 30, 2017

See explanation.

#### Explanation:

The given function is a polynomial, so its domain is $\mathbb{R}$.

From the graph:

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

you can see, that the range is R=[-1;+oo)