What is 3(y-4)^{(2)}=24x-80 ?

The solution to 3(y-4)^{(2)}=24x-80 is Parabola with (h,k)=(10/3 ,4),p=2

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3(y-4)^{(2)}=24x-80

3 (y - 4)^{(2)} = 24 x - 80

(h, k) = (\frac{10}{3}, 4), p = 2

Solution steps

3 (y - 4)^{2} = 24 x - 80

Rewrite

3 (y - 4)^{2} = 24 x - 80

in the standard form:

4 \cdot 2 (x - \frac{10}{3}) = (y - 4)^{2}

Therefore parabola properties are:

(h, k) = (\frac{10}{3}, 4), p = 2

x^{2} + (y + 4) = 22

x^{2} = \frac{64}{3} (3 - y)

1 = x - 0^{2} + (y - 1)^{2}

\frac{( x + 2 )}{16} + \frac{( y - 3 ) ^{2}}{49} = 1

y = - 0.005 (x)^{2} + 190

What is 3(y-4)^{(2)}=24x-80 ?
The solution to 3(y-4)^{(2)}=24x-80 is Parabola with (h,k)=(10/3 ,4),p=2