What is the axis y=x(x-4) ?

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axis y=x(x-4)

axis

y = x (x - 4)

x = 2

Solution steps

y = x (x - 4)

Rewrite

y = x (x - 4)

in the standard form

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

Therefore parabola properties are:

(h, k) = (2, - 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 = 2

y^{2} - x + 8 y + 13 = 0

y = 7 x^{2} - 9 x - 5

y = x^{2} - 6 x + 10

y = - 0.23 x^{2} + 1.87 x + 1.5

y = - 3 x^{2} - 42 x - 22