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}

- x^{2} + 12 x + 24 y = 132

xx = 4 + 3 y

y^{2} - 10 y - 4 x + 25 = 0

x \geq y^{2}

y^{2} - 8 x + 8 y + 32 = 0

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