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Findtheequationoftheaxisofsymmetryfortheparabolay = x2 − 2x.

Question

Findtheequationoftheaxisofsymmetryfortheparabolay = x2 − 2x.

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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 - 2x, a = 1 and b = -2.

Substituting these values into the formula gives:

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

So, the equation of the axis of symmetry for the parabola y = x^2 - 2x is x = 1.

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