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 |


