From Förberedande kurs i matematik 1

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	|align="center"|[[Image:2_3_8_a-1.gif|center]]		|align="center"|[[Image:2_3_8_a-1.gif|center]]
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-	|align="center"|[[Image:2_3_8_a-1.gif|center]]	+	|align="center"|[[Image:2_3_8_a-2.gif|center]]
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	|align="center"|<small>The graph of ''f''(''x'')&nbsp;=&nbsp;''x''²</small>		|align="center"|<small>The graph of ''f''(''x'')&nbsp;=&nbsp;''x''²</small>

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The curve \displaystyle y=x^{2} is a parabola with a minimum at the origin according to the figure below on the left and, compared with that curve, \displaystyle y=x^{2}+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