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

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

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

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

(h, k) = (0, 0), a = 1, b = 2

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

\frac{( x + 2 ) ^{2}}{25} + \frac{( y - 3 ) ^{2}}{4} = 1

\frac{x ^{2}}{14} + \frac{y ^{2}}{6} = 1

\frac{x ^{2}}{9} + \frac{y ^{2}}{c} = 1

16 x^{2} + 36 y^{2} - 256 x + 448 = 0

2 x^{2} + y^{2} = 6

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