Solution 2.3:8a
From Förberedande kurs i matematik 1
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- | {{ | + | The curve <math>y=x^{2}</math> is a parabola with a minimum at the origin according to the figure below on the left and, compared with that curve, <math>y=x^{2}+1</math> |
- | < | + | 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. |
- | + | ||
+ | |||
+ | {| align="center" | ||
+ | |align="center"|[[Image:2_3_8_a-1.gif|center]] | ||
+ | | width="10px"| | ||
+ | |align="center"|[[Image:2_3_8_a-2.gif|center]] | ||
+ | |- | ||
+ | |align="center"|<small>The graph of ''f''(''x'') = ''x''²</small> | ||
+ | || | ||
+ | |align="center"|<small>The graph of ''f''(''x'') = ''x''² + 1</small> | ||
+ | |} |
Current revision
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 |