What is ((x-2)^2)/9+((y+4)^2)/(16)=1 ?

The solution to ((x-2)^2)/9+((y+4)^2)/(16)=1 is Ellipse with (h,k)=(2,-4),a=3,b=4

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((x-2)^2)/9+((y+4)^2)/(16)=1

\frac{( x - 2 ) ^{2}}{9} + \frac{( y + 4 ) ^{2}}{16} = 1

(h, k) = (2, - 4), a = 3, b = 4

Solution steps

\frac{( x - 2 ) ^{2}}{9} + \frac{( y + 4 ) ^{2}}{16} = 1

Rewrite

\frac{( x - 2 ) ^{2}}{9} + \frac{( y + 4 ) ^{2}}{16} = 1

in the form of the standard ellipse equation

\frac{( x - 2 ) ^{2}}{3 ^{2}} + \frac{( y - ( - 4 ) ) ^{2}}{4 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (2, - 4), a = 3, 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 = 3

What is ((x-2)^2)/9+((y+4)^2)/(16)=1 ?
The solution to ((x-2)^2)/9+((y+4)^2)/(16)=1 is Ellipse with (h,k)=(2,-4),a=3,b=4