What is ((x+3)^2)/(3^2)+((y-6)^2)/(6^2)=1 ?

The solution to ((x+3)^2)/(3^2)+((y-6)^2)/(6^2)=1 is Ellipse with (h,k)=(-3,6),a=3,b=6

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((x+3)^2)/(3^2)+((y-6)^2)/(6^2)=1

\frac{( x + 3 ) ^{2}}{3 ^{2}} + \frac{( y - 6 ) ^{2}}{6 ^{2}} = 1

(h, k) = (- 3, 6), a = 3, b = 6

Solution steps

\frac{( x + 3 ) ^{2}}{3 ^{2}} + \frac{( y - 6 ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 3, 6), a = 3, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 3, 6), b = 6, a = 3

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2 x^{2} + 6 y^{2} = 12

5 x^{2} + 9 y^{2} - 45 = 0

What is ((x+3)^2)/(3^2)+((y-6)^2)/(6^2)=1 ?
The solution to ((x+3)^2)/(3^2)+((y-6)^2)/(6^2)=1 is Ellipse with (h,k)=(-3,6),a=3,b=6