# What is the domain and range of y = (x – 5)^2 + 10?

Sep 11, 2015

Domain is all of $\mathbb{R}$, $\left(- \infty , + \infty\right)$
Range $\left[10 , \infty\right)$

#### Explanation:

This is a quadratic function, representing a vertical parabola, opening up with its vertex at (5,10). This makes it obvious that domain is all of $\mathbb{R}$ that is $\left(- \infty , + \infty\right)$ and Range is $\left[10 , + \infty\right)$