What is the axis y=-2x+x(x-2)-2x(x-1)-(x-3) ?

The axis y=-2x+x(x-2)-2x(x-1)-(x-3) is x=-3/2

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axis y=-2x+x(x-2)-2x(x-1)-(x-3)

axis

y = - 2 x + x (x - 2) - 2 x (x - 1) - (x - 3)

x = - \frac{3}{2}

Solution steps

y = - 2 x + x (x - 2) - 2 x (x - 1) - (x - 3)

Rewrite

y = - 2 x + x (x - 2) - 2 x (x - 1) - (x - 3)

in the standard form

4 (- \frac{1}{4}) (y - \frac{21}{4}) = (x - (- \frac{3}{2}))^{2}

Therefore parabola properties are:

(h, k) = (- \frac{3}{2}, \frac{21}{4}), p = - \frac{1}{4}

Parabola is of the form

4 p (y - k) = (x - h)^{2}

and is symmetric around the

y

-axis

Axis of symmetry is a line parallel to the

y

-axis which intersects the vertex:

x = - \frac{3}{2}

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

x = 4 (y + 6) + 3 (2 + y + 3 y^{2}) - 2 y^{2}

y = (x + 1) (2 x + 5)

y = \frac{1}{4} x^{2} - 3 x - 7

y = 49 x^{2} - 64

What is the axis y=-2x+x(x-2)-2x(x-1)-(x-3) ?
The axis y=-2x+x(x-2)-2x(x-1)-(x-3) is x=-3/2