What is v/s = v/(s+1)+1 ?

The solution to v/s = v/(s+1)+1 is Parabola with (h,k)=(-1/4 ,-1/2),p= 1/4

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v/s = v/(s+1)+1

\frac{v}{s} = \frac{v}{s + 1} + 1

(h, k) = (- \frac{1}{4}, - \frac{1}{2}), p = \frac{1}{4}

Solution steps

\frac{v}{s} = \frac{v}{s + 1} + 1

Rewrite

\frac{v}{s} - \frac{v}{s + 1} - 1 = 0

in the standard form

4 \cdot \frac{1}{4} (v - (- \frac{1}{4})) = (s - (- \frac{1}{2}))^{2}

Therefore parabola properties are:

(h, k) = (- \frac{1}{4}, - \frac{1}{2}), p = \frac{1}{4}

56 y = 12 x^{2}

4 y^{2} - 8 x = 0

5 y^{2} - x = 25

(y - 3)^{2} = 4 (x - 5)

(x - 5)^{2} - 2 (y + 2) = 0

What is v/s = v/(s+1)+1 ?
The solution to v/s = v/(s+1)+1 is Parabola with (h,k)=(-1/4 ,-1/2),p= 1/4