Question 971288
General Equation and Graph of Hyperbola with:
center (-3,2) transverse axis is 6
Latus Rectum is 8, the focus is Horizontal.
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Standard form of equation for a hyperbola with horizontal transverse axis and center at (-3,2):
{{{(x+3)^2/a^2-(y-2)^2/b^2=1}}}
length of transverse axis=6= 2a
a=3
a^2=9
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latus rectum=2b^2/a
2b^2/a=8
2b^2=8a
b^2=4a
b^2=4*3=12
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Equation: {{{(x+3)^2/9-(y-2)^2/12=1}}}