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

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

Popular >

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

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

(h, k) = (- 2, - 1), a = 1, b = \frac{1}{2}

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 2, - 1), a = 1, b = \frac{1}{2}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 2, - 1), a = 1, b = \frac{1}{2}

9 x^{2} + 4 y^{2} - 18 x + 24 y = 0

27 x^{2} + 48 y^{2} = 192 y + 54 x + 213

x, x^{2} + \frac{π R ( x ) ^{2}}{2} = 200

\frac{( x ^{2} )}{( 29 )} + \frac{( y ^{2} )}{( 24 )} = 1

36 x^{2} + 16 y^{2} + 96 y - 180 x - 207 = 0

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