What is y=1.5x^2-48+38y+(-700) ?

The solution to y=1.5x^2-48+38y+(-700) is Parabola with (h,k)=(0,20.21621…),p=-6.16666…

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y=1.5x^2-48+38y+(-700)

y = 1.5 x^{2} - 48 + 38 y + (- 700)

(h, k) = (0, 20.21621 \dots), p = - 6.16666 \dots

Solution steps

y = 1.5 x^{2} - 48 + 38 y - 700

Rewrite

y = 1.5 x^{2} - 48 + 38 y - 700

in the standard form:

4 (- 6.16666 \dots) (y - 20.21621 \dots) = (x - 0)^{2}

Therefore parabola properties are:

(h, k) = (0, 20.21621 \dots), p = - 6.16666 \dots

y^{2} - 4 x - 4 y + 16 = 0

(y - 0)^{2} = - 8 (x - 2)

x + y - y^{2} = 15

x = y^{2} + (1 + 25 \cdot 6)

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

What is y=1.5x^2-48+38y+(-700) ?
The solution to y=1.5x^2-48+38y+(-700) is Parabola with (h,k)=(0,20.21621…),p=-6.16666…