What is 3x^2-y=5-x+2y ?

The solution to 3x^2-y=5-x+2y is Parabola with (h,k)=(-1/6 ,-61/36),p= 1/4

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3x^2-y=5-x+2y

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

(h, k) = (- \frac{1}{6}, - \frac{61}{36}), p = \frac{1}{4}

Solution steps

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

Rewrite

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

in the standard form

4 \cdot \frac{1}{4} (y - (- \frac{61}{36})) = (x - (- \frac{1}{6}))^{2}

Therefore parabola properties are:

(h, k) = (- \frac{1}{6}, - \frac{61}{36}), p = \frac{1}{4}

(x - 2)^{2} = 20 (y - 4)

x^{2} - 10 x - 8 y - 23 = 0

2 x^{2} - 5 x + 2 k (x) - 2 = 0

x - y = 5 (x + 1)^{2} - 3

y^{2} + 2 y + 1 = - 2 x + 4

What is 3x^2-y=5-x+2y ?
The solution to 3x^2-y=5-x+2y is Parabola with (h,k)=(-1/6 ,-61/36),p= 1/4