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

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)  

30 people weigh 160 pounds or more