document.write( "Question 864674: For the hyperbola represented by [(y+2)^2]/4 - [x^2]/12=1 find the foci and vertices \n" ); document.write( "

Algebra.Com's Answer #521173 by lwsshak3(11628) $\"\"$ $\"About$

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For the hyperbola represented by [(y+2)^2]/4 - [x^2]/12=1 find the foci and vertices
\n" ); document.write( " $\"%28y%2B2%29%5E2%2F4+-+x%5E2%2F12=1\"$
\n" ); document.write( "Given hyperbola has a vertical transverse axis.
\n" ); document.write( "Its standard form of equation: $\"%28y-k%29%5E2%2Fa%5E2-%28x-h%29%5E2%2Fb%5E2=1\"$ , (h,k)=coordinates of center
\n" ); document.write( "for given hyperbola:
\n" ); document.write( "center: (0,-2)
\n" ); document.write( "a^2=4
\n" ); document.write( "a=2
\n" ); document.write( "vertices: (0,-2ąa)=(0,-2ą2)=(0,-4) and (0,0)
\n" ); document.write( "b^2=12
\n" ); document.write( "c^2=a^2+b^2=4+12=16
\n" ); document.write( "c=√16=4
\n" ); document.write( "foci: (0,-2ąc)=(0,-2ą4)=(0,-6) and (0,2) \n" ); document.write( "

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