document.write( "Question 699854: I need to write this equation in standard form and I am stuck. 9x^2-y^2+8y=52 \n" ); document.write( "

Algebra.Com's Answer #431674 by lwsshak3(11628) $\"\"$ $\"About$

You can put this solution on YOUR website!
write this equation in standard form.
\n" ); document.write( "9x^2-y^2+8y=52
\n" ); document.write( "complete the square:
\n" ); document.write( "9x^2-(y^2-8y+16)=52-16
\n" ); document.write( "9x^2-(y-4)^2=36
\n" ); document.write( "x^2/4-(y-4)^2/36=1
\n" ); document.write( "This is an equation of a hyperbola with horizontal transverse axis and center at (0,4)
\n" ); document.write( "Its standard form: $\"%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1\"$ , (h,k)=(x,y) coordinates of center \n" ); document.write( "

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