What is y^2-2y+1-12x+7-1=0 ?

The solution to y^2-2y+1-12x+7-1=0 is Parabola with (h,k)=(1/2 ,1),p=3

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y^2-2y+1-12x+7-1=0

y^{2} - 2 y + 1 - 12 x + 7 - 1 = 0

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

Solution steps

y^{2} - 2 y + 1 - 12 x + 7 - 1 = 0

Rewrite

y^{2} - 2 y + 1 - 12 x + 7 - 1 = 0

in the standard form

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

Therefore parabola properties are:

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

x = 4 (y - 3)^{2} + 1

y^{2} - 6 y + 9 = 4 x - 20

y^{2} + x - y = 0

- 4 z^{2} + 2 y - 7 = 0

(y - 5)^{2} = - 12 (x - 3)

What is y^2-2y+1-12x+7-1=0 ?
The solution to y^2-2y+1-12x+7-1=0 is Parabola with (h,k)=(1/2 ,1),p=3