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Find the vertex of the parabola y=x^2-2x Simplify both coordinates and write them as proper fractions,improper fractions, or inte (square ,square )

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Respuesta

The vertex of the parabola is \((1, -1)\).

Explicación

## Step 1The given equation is . This is a quadratic equation in the form , where , , and .## Step 2The vertex of a parabola given by the equation is given by the formula \((-b/2a, f(-b/2a))\).## Step 3Substitute the values of and into the formula to find the x-coordinate of the vertex.### \(x = -(-2)/(2*1) = 1\)## Step 4Substitute into the original equation to find the y-coordinate of the vertex.### \(y = (1)^2 - 2*(1) = -1\