What is (p(x))/(x+6)=5x+3 ?

The solution to (p(x))/(x+6)=5x+3 is Parabola with (h,k)=(-33/10 ,-729/20),p= 1/20

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(p(x))/(x+6)=5x+3

\frac{p ( x )}{x + 6} = 5 x + 3

(h, k) = (- \frac{33}{10}, - \frac{729}{20}), p = \frac{1}{20}

Solution steps

\frac{y}{x + 6} = 5 x + 3

Rewrite

\frac{y}{x + 6} - 5 x - 3 = 0

in the standard form

4 \cdot \frac{1}{20} (y - (- \frac{729}{20})) = (x - (- \frac{33}{10}))^{2}

Therefore parabola properties are:

(h, k) = (- \frac{33}{10}, - \frac{729}{20}), p = \frac{1}{20}

15 x^{2} = - 42 y

3 x^{2} + 2 y - 3 = 0

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

x^{2} + 4 x + 4 y + 20 = 0

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

What is (p(x))/(x+6)=5x+3 ?
The solution to (p(x))/(x+6)=5x+3 is Parabola with (h,k)=(-33/10 ,-729/20),p= 1/20