SOLUTION: I need to write this equation in standard form and I am stuck. 9x^2-y^2+8y=52

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Question 699854: I need to write this equation in standard form and I am stuck. 9x^2-y^2+8y=52
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
write this equation in standard form.
9x^2-y^2+8y=52
complete the square:
9x^2-(y^2-8y+16)=52-16
9x^2-(y-4)^2=36
x^2/4-(y-4)^2/36=1
This is an equation of a hyperbola with horizontal transverse axis and center at (0,4)
Its standard form: %28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1, (h,k)=(x,y) coordinates of center