What is y+4= 7/2 x(x-3) ?

The solution to y+4= 7/2 x(x-3) is Parabola with (h,k)=(3/2 ,-95/8),p= 1/14

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y+4= 7/2 x(x-3)

y + 4 = \frac{7}{2} x (x - 3)

(h, k) = (\frac{3}{2}, - \frac{95}{8}), p = \frac{1}{14}

Solution steps

y + 4 = \frac{7}{2} x (x - 3)

Rewrite

y + 4 = \frac{7}{2} x (x - 3)

in the standard form

4 \cdot \frac{1}{14} (y - (- \frac{95}{8})) = (x - \frac{3}{2})^{2}

Therefore parabola properties are:

(h, k) = (\frac{3}{2}, - \frac{95}{8}), p = \frac{1}{14}

\frac{x}{y ^{2}} = \frac{- 1}{2}

x^{2} = \frac{8}{27} y - 3

y = 8 y^{2} + 2 x - 6

f (x) = 2 x^{2} + 2 x - 60

x^{2} - 6 x + 8 y + 17 = 0

What is y+4= 7/2 x(x-3) ?
The solution to y+4= 7/2 x(x-3) is Parabola with (h,k)=(3/2 ,-95/8),p= 1/14