What is x^2+6x-16y+135=0 ?

The solution to x^2+6x-16y+135=0 is Parabola with (h,k)=(-3, 63/8),p=4

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x^2+6x-16y+135=0

x^{2} + 6 x - 16 y + 135 = 0

(h, k) = (- 3, \frac{63}{8}), p = 4

Solution steps

x^{2} + 6 x - 16 y + 135 = 0

Rewrite

x^{2} + 6 x - 16 y + 135 = 0

in the standard form

4 \cdot 4 (y - \frac{63}{8}) = (x - (- 3))^{2}

Therefore parabola properties are:

(h, k) = (- 3, \frac{63}{8}), p = 4

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

x + 4 - y^{2} = 0

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

y^{2} - 4 x - 8 y - 12 = 0

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

What is x^2+6x-16y+135=0 ?
The solution to x^2+6x-16y+135=0 is Parabola with (h,k)=(-3, 63/8),p=4