Question

What is the center of the following ellipse?
(x-5)^2 + (y+2)^2
________ ________ = 1
25 36

Answer 1

\(\bf \cfrac{(x-5)^2}{25}+\cfrac{(y+2)^2}{36}=1\implies \cfrac{(x-5)^2}{5^2}+\cfrac{(y-(-2))^2}{6^2}=1\\ \quad \\ \quad \\
\cfrac{(x-h)^2}{a^2}+\cfrac{(y-k)^2}{b^2}=1\qquad \textit{center is at }(h,k)\)

Answer 2

Thank you!

Answer 3

yw