What is x^2-3x+2y-12=0 ?

The solution to x^2-3x+2y-12=0 is Parabola with (h,k)=(3/2 , 57/8),p=-1/2

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x^2-3x+2y-12=0

x^{2} - 3 x + 2 y - 12 = 0

(h, k) = (\frac{3}{2}, \frac{57}{8}), p = - \frac{1}{2}

Solution steps

x^{2} - 3 x + 2 y - 12 = 0

Rewrite

x^{2} - 3 x + 2 y - 12 = 0

in the standard form

4 (- \frac{1}{2}) (y - \frac{57}{8}) = (x - \frac{3}{2})^{2}

Therefore parabola properties are:

(h, k) = (\frac{3}{2}, \frac{57}{8}), p = - \frac{1}{2}

y > x^{2} + 2 x

x, 1.2 x - \frac{1.2 p ( x ) ^{2}}{4200} = 0

x = \frac{17}{256} (y - 0)^{2} - 32

\frac{a + 5}{b} = \frac{a - 5}{b} + \frac{b + 5}{a}

x^{2} + 4 y + 8 = 0

What is x^2-3x+2y-12=0 ?
The solution to x^2-3x+2y-12=0 is Parabola with (h,k)=(3/2 , 57/8),p=-1/2