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

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

Popular >

(((x-2)^2))/4+(((y-4)^2))/(16)=1

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

(h, k) = (2, 4), a = 2, b = 4

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (2, 4), a = 2, b = 4

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (2, 4), b = 4, a = 2

\frac{( x - 2 ) ^{2}}{16} + \frac{( y - 2 ) ^{2}}{9} = 1

(x + 2)^{2} + 32 (y - 4)^{2} = 16

\frac{( x - 3 ) ^{2}}{16} + \frac{( y - 5 ) ^{2}}{25} = 1

\frac{( x + 5 ) ^{2}}{100} + \frac{( y - 2 ) ^{2}}{36} = 1

\frac{y ^{2}}{36} + \frac{x ^{2}}{100} = 1

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