Find the equation of the axis of symmetry for the parabola y=x2−2x. Simplify any numbers and write them as proper fractions, improper fractions, or integers.__
Q. Find the equation of the axis of symmetry for the parabola y=x2−2x. Simplify any numbers and write them as proper fractions, improper fractions, or integers.__
Identify Coefficients: Identify the coefficients of the quadratic equation.The given parabola is y=x2−2x, which can be compared to the standard form y=ax2+bx+c.Here, a=1 and b=−2. There is no c term, so c=0.
Use Axis of Symmetry Formula: Use the formula for the axis of symmetry.The axis of symmetry for a parabola given by y=ax2+bx+c is x=−2ab.
Substitute Values: Substitute the values of a and b into the formula.Substitute a=1 and b=−2 into the formula x=−b/(2a).x=−(−2)/(2⋅1)x=2/2x=1
Write Equation of Symmetry: Write the equation of the axis of symmetry.The axis of symmetry is a vertical line, so its equation is of the form x=constant.Therefore, the equation of the axis of symmetry for the parabola y=x2−2x is x=1.
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