What is (x+4)^2=12y-24 ?

The solution to (x+4)^2=12y-24 is Parabola with (h,k)=(-4,2),p=3

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(x+4)^2=12y-24

(x + 4)^{2} = 12 y - 24

(h, k) = (- 4, 2), p = 3

Solution steps

(x + 4)^{2} = 12 y - 24

Rewrite

(x + 4)^{2} = 12 y - 24

in the standard form:

4 \cdot 3 (y - 2) = (x - (- 4))^{2}

Therefore parabola properties are:

(h, k) = (- 4, 2), p = 3

\frac{x ^{2}}{25} + \frac{y ^{2}}{9} = 1

y^{2} = 16 x

(x - 3)^{2} + (y + 5)^{2} = 16

y^{2} - 8 x - 16 = 0

\frac{x ^{2}}{16} - \frac{y ^{2}}{25} = 1

What is (x+4)^2=12y-24 ?
The solution to (x+4)^2=12y-24 is Parabola with (h,k)=(-4,2),p=3