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Rovnice hyperboly
Urči rovnici hyperboly:
souřadnice středu jsou \( [2; 3] \) a poloosy jsou \( a = 2 \) a \( b = 3 \), orientace podle osy \( x \).
\( \large \Large \frac{\left( x-3\right) ^2}{4}\large - \Large \frac{\left( y- 2\right) ^2}{9}\large = 1 \)
\( \large \Large \frac{\left( x-2\right) ^2}{4}\large - \Large \frac{\left( y- 3\right) ^2}{9}\large = 1 \)
\( \large \Large \frac{\left( x-2\right) ^2}{4}\large + \Large \frac{\left( y- 3\right) ^2}{9}\large = 1 \)
\( \large \Large \frac{\left( x-2\right) ^2}{9}\large - \Large \frac{\left( y- 3\right) ^2}{4}\large = 1 \)