-X^2-4=Y^2

Solution

- X^{2} - 4 = Y^{2}

(h, k) = (0, 0), a = 2, b = 2

Solution steps

- X^{2} - 4 = Y^{2}

Rewrite

- X^{2} - 4 = Y^{2}

in the form of the standard ellipse equation

\frac{( X - 0 ) ^{2}}{2 ^{2}} + \frac{( Y - 0 ) ^{2}}{2 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 2, b = 2

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 2, a = 2

What is -X^2-4=Y^2 ?
The solution to -X^2-4=Y^2 is Ellipse with (h,k)=(0,0),a=2,b=2