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Popular >

x^2=2y-y^2

Solution

x^{2} = 2 y - y^{2}

Solution

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

Solution steps

x^{2} = 2 y - y^{2}

Rewrite

x^{2} = 2 y - y^{2}

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 1), b = 1, a = 1

Popular Examples

9x^2+4y^2-72x+108=0

9 x^{2} + 4 y^{2} - 72 x + 108 = 0

(x^2)/(144)+(y^2)/(81)=1

\frac{x ^{2}}{144} + \frac{y ^{2}}{81} = 1

16x^2-96x+5y^2+10y+69=0

16 x^{2} - 96 x + 5 y^{2} + 10 y + 69 = 0

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

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

x^{2} + y^{2} \geq - 4 y

Frequently Asked Questions (FAQ)

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