What is 2(y^2-6y+18)=x-54 ?

The solution to 2(y^2-6y+18)=x-54 is Parabola with (h,k)=(72,3),p= 1/8

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2(y^2-6y+18)=x-54

2 (y^{2} - 6 y + 18) = x - 54

(h, k) = (72, 3), p = \frac{1}{8}

Solution steps

2 (y^{2} - 6 y + 18) = x - 54

Rewrite

2 (y^{2} - 6 y + 18) = x - 54

in the standard form

4 \cdot \frac{1}{8} (x - 72) = (y - 3)^{2}

Therefore parabola properties are:

(h, k) = (72, 3), p = \frac{1}{8}

x^{2} - 4 z + 5 = 0

3 (x^{2} - 2 y) = 9 (x^{2} - 3 y)

x = 2 y^{2} + 12 y - 14

x = (y + 4)^{2}

x + 12 = y^{2}

What is 2(y^2-6y+18)=x-54 ?
The solution to 2(y^2-6y+18)=x-54 is Parabola with (h,k)=(72,3),p= 1/8