What is (3y^2-30y+2x+101)/2 =0 ?

The solution to (3y^2-30y+2x+101)/2 =0 is Parabola with (h,k)=(-13,5),p=-1/6

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(3y^2-30y+2x+101)/2 =0

\frac{3 y ^{2} - 30 y + 2 x + 101}{2} = 0

(h, k) = (- 13, 5), p = - \frac{1}{6}

Solution steps

\frac{3 y ^{2} - 30 y + 2 x + 101}{2} = 0

Rewrite

\frac{3 y ^{2} - 30 y + 2 x + 101}{2} = 0

in the standard form

4 (- \frac{1}{6}) (x - (- 13)) = (y - 5)^{2}

Therefore parabola properties are:

(h, k) = (- 13, 5), p = - \frac{1}{6}

y^{2} - 15 y = y^{2} - 3 x

(y - 7)^{2} = 24 (x + 1)

2 y^{2} - x - 12 y + 18 = 0

- f (x) = 4 x^{2} + 2 x - 4

x + y^{2} = 1

What is (3y^2-30y+2x+101)/2 =0 ?
The solution to (3y^2-30y+2x+101)/2 =0 is Parabola with (h,k)=(-13,5),p=-1/6