What is (3y-6)^2=36(x-2) ?

The solution to (3y-6)^2=36(x-2) is Parabola with (h,k)=(2,2),p=1

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(3y-6)^2=36(x-2)

(3 y - 6)^{2} = 36 (x - 2)

(h, k) = (2, 2), p = 1

Solution steps

(3 y - 6)^{2} = 36 (x - 2)

Rewrite

(3 y - 6)^{2} = 36 (x - 2)

in the standard form:

4 \cdot 1 \cdot (x - 2) = (y - 2)^{2}

Therefore parabola properties are:

(h, k) = (2, 2), p = 1

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

(x - 3)^{2} = 20 (y + 2)

x, 5 x - 6 - \frac{1}{2} k (x)^{2} + 2 k (x)^{2} = 0

a 9 a + 6 c = 8 a + 10 c

y > - x^{2} - 4 x + 2

What is (3y-6)^2=36(x-2) ?
The solution to (3y-6)^2=36(x-2) is Parabola with (h,k)=(2,2),p=1