What is x(2x-5)=p(x)-4 ?

The solution to x(2x-5)=p(x)-4 is Parabola with (h,k)=(5/4 , 7/8),p= 1/8

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x(2x-5)=p(x)-4

x (2 x - 5) = p (x) - 4

(h, k) = (\frac{5}{4}, \frac{7}{8}), p = \frac{1}{8}

Solution steps

x (2 x - 5) = y - 4

Rewrite

x (2 x - 5) = y - 4

in the standard form

4 \cdot \frac{1}{8} (y - \frac{7}{8}) = (x - \frac{5}{4})^{2}

Therefore parabola properties are:

(h, k) = (\frac{5}{4}, \frac{7}{8}), p = \frac{1}{8}

x^{2} - 4 x - 6 y - 36 = 0

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

3 y^{2} + 12 y - 4 x + 16 = 0

y^{2} - 2 y + 3 x - 8 = 0

(x - 2)^{2} = - 12 (y - 4)

What is x(2x-5)=p(x)-4 ?
The solution to x(2x-5)=p(x)-4 is Parabola with (h,k)=(5/4 , 7/8),p= 1/8