Solution 2.3:8a

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m (Lösning 2.3:8a moved to Solution 2.3:8a: Robot: moved page)
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{{NAVCONTENT_START}}
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The curve
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<center> [[Image:2_3_8a.gif]] </center>
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<math>y=x^{2}</math>
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is a parabola with a minimum at the origin according to the figure below on the left and, compared with that curve,
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<math>y=x^{2}+1</math>
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is the same curve but with the number
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<math>1</math>
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added to the
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<math>y</math>
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-coordinate of each point, i.e. the parabola is shifted one unit up in the
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<math>y</math>
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-direction.
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[[Image:2_3_8_a.gif|center]]
[[Image:2_3_8_a.gif|center]]

Revision as of 11:22, 21 September 2008

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 \displaystyle 1 added to the \displaystyle y -coordinate of each point, i.e. the parabola is shifted one unit up in the \displaystyle y -direction.


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