Find the equation of the axis of symmetry for the parabola y = x^2 − 7x + 3 . Simplify any numbers and write them as proper fractions, improper fractions, or integers. _____

Identify Coefficients: Identify the coefficients a, b, and c in the quadratic equation y = ax^2 + bx + c. For the given equation y = x^2 − 7x + 3, we have: a = 1, b = -7, and c = 3.Calculate Axis of Symmetry: Use the formula for the axis of symmetry for a parabola, which is x = -b/(2a). Substitute the values of a and b into the formula. x = -(-7)/(2*1) = 7/2.Verify Calculation: Check the calculation to ensure there are no math errors. x = 7/2 is the correct calculation for the axis of symmetry using the given values of a and b.

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Find the equation of the axis of symmetry for the parabola $y = x^2 - 7x + 3$ . $\newline$ Simplify any numbers and write them as proper fractions, improper fractions, or integers. $\newline$ $\_\_$

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Algebra 2

Characteristics of quadratic functions: equations

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Q. Find the equation of the axis of symmetry for the parabola

y = x^2 - 7x + 3

\newline

Simplify any numbers and write them as proper fractions, improper fractions, or integers.

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\_\_

Identify Coefficients: Identify the coefficients $a$ , $b$ , and $c$ in the quadratic equation $y = ax^2 + bx + c$ . For the given equation $y = x^2 − 7x + 3$ , we have: $a = 1$ , $b = -7$ , and $c = 3$ .
Calculate Axis of Symmetry: Use the formula for the axis of symmetry for a parabola, which is $x = -\frac{b}{2a}$ . Substitute the values of $a$ and $b$ into the formula. $x = -\frac{-7}{2\cdot 1} = \frac{7}{2}$ .
Verify Calculation: Check the calculation to ensure there are no math errors. $x = \frac{7}{2}$ is the correct calculation for the axis of symmetry using the given values of $a$ and $b$ .