What is (2x+y)(2x-y)=4x(x-1) ?

The solution to (2x+y)(2x-y)=4x(x-1) is Parabola with (h,k)=(0,0),p=1

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(2x+y)(2x-y)=4x(x-1)

(2 x + y) (2 x - y) = 4 x (x - 1)

(h, k) = (0, 0), p = 1

Solution steps

(2 x + y) (2 x - y) = 4 x (x - 1)

Rewrite

(2 x + y) (2 x - y) - 4 x (x - 1) = 0

in the standard form

4 \cdot 1 \cdot (x - 0) = (y - 0)^{2}

Therefore parabola properties are:

(h, k) = (0, 0), p = 1

3 x^{2} - 12 y = 0

- f (x) = - 2 x^{2} + x - 1

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

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

y < 2 x^{2} + 5 x - 1

What is (2x+y)(2x-y)=4x(x-1) ?
The solution to (2x+y)(2x-y)=4x(x-1) is Parabola with (h,k)=(0,0),p=1