What is 3x^2+24x+26=4+26y ?

The solution to 3x^2+24x+26=4+26y is Parabola with (h,k)=(-4,-1),p= 13/6

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3x^2+24x+26=4+26y

3 x^{2} + 24 x + 26 = 4 + 26 y

(h, k) = (- 4, - 1), p = \frac{13}{6}

Solution steps

3 x^{2} + 24 x + 26 = 4 + 26 y

Rewrite

3 x^{2} + 24 x + 26 = 4 + 26 y

in the standard form

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

Therefore parabola properties are:

(h, k) = (- 4, - 1), p = \frac{13}{6}

2 x^{2} + y = 8

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

2 x^{2} + y > 0

(x - 0) + (y - 8)^{2} = 25

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

What is 3x^2+24x+26=4+26y ?
The solution to 3x^2+24x+26=4+26y is Parabola with (h,k)=(-4,-1),p= 13/6