What is y-2y-3y=4x^2+x-5 ?

The solution to y-2y-3y=4x^2+x-5 is Parabola with (h,k)=(-1/8 , 81/64),p=-1/4

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y-2y-3y=4x^2+x-5

y - 2 y - 3 y = 4 x^{2} + x - 5

(h, k) = (- \frac{1}{8}, \frac{81}{64}), p = - \frac{1}{4}

Solution steps

y - 2 y - 3 y = 4 x^{2} + x - 5

Rewrite

y - 2 y - 3 y = 4 x^{2} + x - 5

in the standard form

4 (- \frac{1}{4}) (y - \frac{81}{64}) = (x - (- \frac{1}{8}))^{2}

Therefore parabola properties are:

(h, k) = (- \frac{1}{8}, \frac{81}{64}), p = - \frac{1}{4}

(y + 2)^{2} = - 16 (x - 1)

x^{2} + 14 x - 2 y + 53 = 0

y = - x^{2} + 12 x - 35

(y - 7)^{2} = (x - 1)

(x - 4)^{2} = 6 (y + \frac{1}{3})

What is y-2y-3y=4x^2+x-5 ?
The solution to y-2y-3y=4x^2+x-5 is Parabola with (h,k)=(-1/8 , 81/64),p=-1/4