Graph y=x^2+2. identify the vertex of the graph. tell whether it is a minimum or maximum.

we know that

The equation of a vertical parabola in vertex form is equal to

where

(h,k) is the vertex of the parabola

if -----> the parabola open upward (vertex is a minimum)

if -----> the parabola open downward (vertex is a maximum)

In this problem we have

The vertex is the point

so

-----> the parabola open upward (vertex is a minimum)

Using a graphing tool

see the attached figure

The answer is

The vertex is the point

Is a minimum

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