x=y-y^2

Solution

x = y - y^{2}

(h, k) = (\frac{1}{4}, \frac{1}{2}), p = - \frac{1}{4}

Solution steps

x = y - y^{2}

Rewrite

x = y - y^{2}

in the standard form

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

Therefore parabola properties are:

(h, k) = (\frac{1}{4}, \frac{1}{2}), p = - \frac{1}{4}

y^{2} - 8 x = 0

x^{2} - 2 x + y^{2} + 2 y = 7

\frac{y ^{2}}{49} - \frac{x ^{2}}{64} = 1

y, 36 x^{2} - 25 y^{2} + 144 x - 50 y + 119 = 0

\frac{x ^{2}}{100} - \frac{y ^{2}}{64} = 1

What is x=y-y^2 ?
The solution to x=y-y^2 is Parabola with (h,k)=(1/4 , 1/2),p=-1/4