What is 16x^2-72x-112y=-221 ?

The solution to 16x^2-72x-112y=-221 is Parabola with (h,k)=(9/4 , 5/4),p= 7/4

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16x^2-72x-112y=-221

16 x^{2} - 72 x - 112 y = - 221

(h, k) = (\frac{9}{4}, \frac{5}{4}), p = \frac{7}{4}

Solution steps

16 x^{2} - 72 x - 112 y = - 221

Rewrite

16 x^{2} - 72 x - 112 y = - 221

in the standard form

4 \cdot \frac{7}{4} (y - \frac{5}{4}) = (x - \frac{9}{4})^{2}

Therefore parabola properties are:

(h, k) = (\frac{9}{4}, \frac{5}{4}), p = \frac{7}{4}

y^{2} - 4 x + 6 y - 11 = 0

y^{2} - x + y - 6 = 0

(\frac{x - 6}{9})^{2} - (\frac{y - 4}{5}) = 1

5 x^{2} - 2 y + 6 = 0

y \geq - (x - 4)^{2} + 1

What is 16x^2-72x-112y=-221 ?
The solution to 16x^2-72x-112y=-221 is Parabola with (h,k)=(9/4 , 5/4),p= 7/4