What is x^2+((y-6)^2)/(16)=1 ?

The solution to x^2+((y-6)^2)/(16)=1 is Ellipse with (h,k)=(0,6),a=1,b=4

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x^2+((y-6)^2)/(16)=1

x^{2} + \frac{( y - 6 ) ^{2}}{16} = 1

(h, k) = (0, 6), a = 1, b = 4

Solution steps

x^{2} + \frac{( y - 6 ) ^{2}}{16} = 1

Rewrite

x^{2} + \frac{( y - 6 ) ^{2}}{16} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{1 ^{2}} + \frac{( y - 6 ) ^{2}}{4 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 6), a = 1, b = 4

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 6), b = 4, a = 1

What is x^2+((y-6)^2)/(16)=1 ?
The solution to x^2+((y-6)^2)/(16)=1 is Ellipse with (h,k)=(0,6),a=1,b=4