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Solution 2.3:8b

From Förberedande kurs i matematik 1

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As a starting point, we can take the curve y=x2+2 which is a parabola with a minimum at (0,2) and is sketched further down. Compared with that curve, y=(x1)2+2 is the same curve in which we must consistently choose x to be one unit greater in order to get the same y-value. The curve y=(x1)2+2 is thus shifted one unit to the right compared with y=x2+2.


 
The graph of f(x) = x² + 2 The graph of f(x) = (x - 1)² + 2