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Solution 2.3:8a

From Förberedande kurs i matematik 1

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The curve y=x2 is a parabola with a minimum at the origin according to the figure below on the left and, compared with that curve, y=x2+1 is the same curve but with the number 1 added to the y-coordinate of each point, i.e. the parabola is shifted one unit up in the y-direction.


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