Wiki-Quellcode von Lösung Spiegeln an der Winkelhalbierenden
Version 2.1 von Niklas Wunder am 2024/10/15 08:41
Verstecke letzte Bearbeiter
| author | version | line-number | content |
|---|---|---|---|
 |
2.1 | 1 | a) Wie errechnenet für {{formula}} y=\frac{1}{x} {{/formula}}. |
| 2 | |||
| 3 | {{formula}} | ||
| 4 | |||
| 5 | \begin{align*} | ||
| 6 | y= \frac{1}{x} \\ | ||
| 7 | x\cdot y= 1 \\ | ||
| 8 | x= \frac{1}{y} | ||
| 9 | \end{align*} | ||
| 10 | |||
| 11 | {{/formula}} | ||
| 12 | |||
| 13 | Tauschen von x und y liefert also {{formula}} y= \frac{1}{x}{{/formula}} den ursprunglichen Graphen. | ||
| 14 | Für {{formula}} y=\frac{1}{x^2} {{/formula}} erhält man. | ||
| 15 | |||
| 16 | {{formula}} | ||
| 17 | |||
| 18 | \begin{align*} | ||
| 19 | y= \frac{1}{x^2} \\ | ||
| 20 | x^2\cdot y= 1 \\ | ||
| 21 | x^2= \frac{1}{y} \\ | ||
| 22 | x= \frac{1}{\sqrt{y}} | ||
| 23 | |||
| 24 | \end{align*} | ||
| 25 | |||
| 26 | {{/formula}} |