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Findtheequationoftheaxisofsymmetryfortheparabolay = x2 − 4x.

Question

Findtheequationoftheaxisofsymmetryfortheparabolay = x2 − 4x.

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Solution

The axis of symmetry for a parabola given by the equation y = ax^2 + bx + c is given by the formula x = -b/2a.

In the equation y = x^2 - 4x, a = 1 and b = -4.

Substituting these values into the formula gives:

x = -(-4)/2(1) x = 4/2 x = 2

So, the equation of the axis of symmetry for the parabola y = x^2 - 4x is x = 2.

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