For the function f(x) = (x − 2)2 + 4, identify the vertex, domain, and range.

we have

This is a vertical parabola open up, so the vertex is a minimum

we know that

The vertex form of a vertical parabola function is given by the formula

where

(h, k)---------->  is the vertex of the function

In this problem

the vertex is the point (2,4)

The domain is all real numbers----------> interval (-∞,∞)

The range is the interval------------> [4, ∞)

using a graph tool

see the attached figure

2

step-by-step explanation: