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

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

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

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

(h, k) = (0, 2), a = 4, b = 2

Solution steps

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

Rewrite

y - 4 + \frac{x ^{2}}{4 y} = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 2), a = 4, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 2), a = 4, b = 2

3 x^{2} + y^{2} - 12 = 0

4 y^{2} + x^{2} - 2 x = 3

\frac{( x ) ^{2}}{49} + \frac{( y ) ^{2}}{25} = 1

\frac{( - y )}{- 2 - x} = \frac{( - 1 )}{\frac{( 4 - y )}{6 - x}}

9 (x + 9)^{2} + 4 (y - 12)^{2} = 1284

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