Lösung 2.3:8c

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By completing the square, we can rewrite the function as

Vorlage:Displayed math

and when the function is written in this way, we see that the graph \displaystyle y = (x-3)^{2} + 2 is the same curve as the parabola \displaystyle y=x^{2}, but shifted two units up and three units to the right (see sub-exercise a and b).


 
The graph of f(x) = x² The graph of f(x) = x² - 6x + 11