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Find the equation of the axis of symmetry for the parabola y=x2−7x+3y = x^2 - 7x + 3. \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=x2−7x+3y = x^2 - 7x + 3. \newlineSimplify any numbers and write them as proper fractions, improper fractions, or integers.\newline__\_\_
  1. Identify Coefficients: Identify the coefficients aa, bb, and cc in the quadratic equation y=ax2+bx+cy = ax^2 + bx + c. For the given equation y=x2−7x+3y = x^2 − 7x + 3, we have: a=1a = 1, b=−7b = -7, and c=3c = 3.
  2. Calculate Axis of Symmetry: 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. x=−−72⋅1=72x = -\frac{-7}{2\cdot 1} = \frac{7}{2}.
  3. Verify Calculation: Check the calculation to ensure there are no math errors. x=72x = \frac{7}{2} is the correct calculation for the axis of symmetry using the given values of aa and bb.

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