What is y^2-6x-y+11=0 ?

The solution to y^2-6x-y+11=0 is Parabola with (h,k)=(43/24 , 1/2),p= 3/2

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y^2-6x-y+11=0

y^{2} - 6 x - y + 11 = 0

(h, k) = (\frac{43}{24}, \frac{1}{2}), p = \frac{3}{2}

Solution steps

y^{2} - 6 x - y + 11 = 0

Rewrite

y^{2} - 6 x - y + 11 = 0

in the standard form

4 \cdot \frac{3}{2} (x - \frac{43}{24}) = (y - \frac{1}{2})^{2}

Therefore parabola properties are:

(h, k) = (\frac{43}{24}, \frac{1}{2}), p = \frac{3}{2}

x = (y + 1)^{2} + 3

y^{2} - x + 8 y + 13 = 0

s^{2} + 6 s - p = 0

y^{2} = 4 - x

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

What is y^2-6x-y+11=0 ?
The solution to y^2-6x-y+11=0 is Parabola with (h,k)=(43/24 , 1/2),p= 3/2