Question

Please help!!
Find the center and foci of the hyperbola

Answer 1

The center of the hyperbola that its equation is :
\[\frac{(y-\beta)^2}{b^2}-\frac{(x-\alpha)^2}{a^2}\]
is the point :
\[\Omega(\alpha,\beta).\]

Answer 2

hello again
you have the center displayed for you in the equation
do you see it?

Answer 3

no

Answer 4

\[\frac{(y-k)^2}{b^2}-\frac{(x-h)^2}{a^2}\] has center \((h,k)\) and you are looking at \[\frac{(y+8)^2}{16}-\frac{(x-2)^2}{33}\]

Answer 5

so your job it only to identify \(h\) and \(k\)
good so far?

Answer 6

i keep forgetting the \(=1\) part sorry

Answer 7

\[\frac{(y-\color{red}k)^2}{b^2}-\frac{(x-\color{green}h)^2}{a^2}=1\]\[\frac{(y-(\color{red}{-8})^2}{16}-\frac{(x-\color{green}2)^2}{33}=1\]

Answer 8

center is...?

Answer 9

did i lose you here? or is it okay?