What is s-25= 45/2 t-3/4 t^2-33-75 ?

The solution to s-25= 45/2 t-3/4 t^2-33-75 is Parabola with (h,k)=(343/4 ,15),p=-1/3

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s-25= 45/2 t-3/4 t^2-33-75

s - 25 = \frac{45}{2} t - \frac{3}{4} t^{2} - 33 - 75

(h, k) = (\frac{343}{4}, 15), p = - \frac{1}{3}

Solution steps

s - 25 = \frac{45}{2} t - \frac{3}{4} t^{2} - 33 - 75

Rewrite

s - 25 = \frac{45}{2} t - \frac{3}{4} t^{2} - 33 - 75

in the standard form

4 (- \frac{1}{3}) (s - \frac{343}{4}) = (t - 15)^{2}

Therefore parabola properties are:

(h, k) = (\frac{343}{4}, 15), p = - \frac{1}{3}

2 x^{2} - 7 y \geq 21

y - 5 = (x + 1)^{2}

y^{2} - 6 x + 5 y - 11 = 0

6 x^{2} + 8 x^{2} + 12 x - 32 y = 178

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

What is s-25= 45/2 t-3/4 t^2-33-75 ?
The solution to s-25= 45/2 t-3/4 t^2-33-75 is Parabola with (h,k)=(343/4 ,15),p=-1/3