What is (x^2}{16}+\frac{(y-4)^2)/1 =1 ?

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

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(x^2}{16}+\frac{(y-4)^2)/1 =1

\frac{x ^{2}}{16} + \frac{( y - 4 ) ^{2}}{1} = 1

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

Solution steps

\frac{x ^{2}}{16} + \frac{( y - 4 ) ^{2}}{1} = 1

Rewrite

\frac{x ^{2}}{16} + \frac{( y - 4 ) ^{2}}{1} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

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