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Určení rovnice hyperboly
Urči rovnici hyperboly:
souřadnice středu jsou \( [−1; 4] \) a poloosy jsou \( a=1 \) a \( b=5 \), orientace podle osy \( y \).
\( \large \Large \frac{\left( y-4\right) ^2}{5}\large - \Large \frac{\left( x+1\right) ^2}{1}\large = 1 \)
\( \large \Large \frac{\left( y-4\right) ^2}{1}\large - \Large \frac{\left( x+1\right) ^2}{25}\large = 1 \)
\( \large \Large \frac{\left( y-4\right) ^2}{25}\large - \Large \frac{\left( x+1\right) ^2}{1}\large = 1 \)
\( \large \Large \frac{\left( y+4\right) ^2}{1}\large - \Large \frac{\left( x-1\right) ^2}{25}\large = 1 \)