What is 2x^2-12x-11y+40=0 ?

The solution to 2x^2-12x-11y+40=0 is Parabola with (h,k)=(3,2),p= 11/8

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2x^2-12x-11y+40=0

2 x^{2} - 12 x - 11 y + 40 = 0

(h, k) = (3, 2), p = \frac{11}{8}

Solution steps

2 x^{2} - 12 x - 11 y + 40 = 0

Rewrite

2 x^{2} - 12 x - 11 y + 40 = 0

in the standard form

4 \cdot \frac{11}{8} (y - 2) = (x - 3)^{2}

Therefore parabola properties are:

(h, k) = (3, 2), p = \frac{11}{8}

3 y^{2} - x = 9

y^{2} + x - 49 = 0

9 x^{2} + 24 x + 72 y - 20 = 0

x = y^{2} - 5 y + 6

4 x^{2} = 2 y

What is 2x^2-12x-11y+40=0 ?
The solution to 2x^2-12x-11y+40=0 is Parabola with (h,k)=(3,2),p= 11/8