What is x 1/2 x+1/4 y=-5 ?

The solution to x 1/2 x+1/4 y=-5 is Parabola with (h,k)=(0,-20),p=-1/8

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x 1/2 x+1/4 y=-5

x \frac{1}{2} x + \frac{1}{4} y = - 5

(h, k) = (0, - 20), p = - \frac{1}{8}

Solution steps

x \frac{1}{2} x + \frac{1}{4} y = - 5

Rewrite

x \frac{1}{2} x + \frac{1}{4} y = - 5

in the standard form:

4 (- \frac{1}{8}) (y - (- 20)) = (x - 0)^{2}

Therefore parabola properties are:

(h, k) = (0, - 20), p = - \frac{1}{8}

4 y^{2} - 12 y + 56 x + 177 = 0

3 - 4 x - y^{2} = 0

- 2 x^{2} + 12 x - 8 y - 18 = 0

x^{2} - 2 x - 6 y + 13 = 0

y^{2} + x = 245000

What is x 1/2 x+1/4 y=-5 ?
The solution to x 1/2 x+1/4 y=-5 is Parabola with (h,k)=(0,-20),p=-1/8