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Find the equation of the axis of symmetry for the parabola y=x2+6xy = x^2 + 6x. \newlineSimplify any numbers and write them as proper fractions, improper fractions, or integers.\newline_____\_\_\_\_\_

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Q. Find the equation of the axis of symmetry for the parabola y=x2+6xy = x^2 + 6x. \newlineSimplify any numbers and write them as proper fractions, improper fractions, or integers.\newline_____\_\_\_\_\_
  1. Identify coefficients: Identify the coefficients aa and bb from the given quadratic equation y=x2+6xy = x^2 + 6x. The standard form of a quadratic equation is y=ax2+bx+cy = ax^2 + bx + c. By comparing, we can see that a=1a = 1 and b=6b = 6.
  2. Use axis of symmetry formula: Use the formula for the axis of symmetry for a parabola, which is x=−b2ax = -\frac{b}{2a}. Substitute the values of aa and bb into the formula to find the axis of symmetry. x=−62×1x = -\frac{6}{2 \times 1}
  3. Simplify expression: Simplify the expression to find the value of xx that represents the axis of symmetry.x=−62x = \frac{-6}{2}x=−3x = -3

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