In an inflection point the curvature of the function changes, in this example we can see that the graph of the function is concave up in the interval:
[tex](-\infty,2)[/tex]
And concave down in the interval:
[tex](2,\infty)[/tex]
Since the plot changes from concave up to concave down at x equals 2 we have an inflection point on that position, and since with an x equals 2 the variable y equals 1, the inflection point would be:
[tex](2,1)[/tex]
