Find the equation of the axis of symmetry for the parabola y = x^2 − 7x + 9 . Simplify any numbers and write them as proper fractions, improper fractions, or integers. _____

Identify Coefficients: Identify the coefficients of the quadratic equation. The quadratic equation is given in the form y = ax^2 + bx + c. For the parabola y = x^2 − 7x + 9, we can identify the coefficients as follows: a = 1 (coefficient of x^2) b = -7 (coefficient of x) c = 9 (constant term)Use Axis of Symmetry Formula: Use the formula for the axis of symmetry. The axis of symmetry for a parabola given by the equation y = ax^2 + bx + c is x = -b/(2a). We will substitute the values of a and b into this formula to find the axis of symmetry.Substitute Values into Formula: Substitute the values of a and b into the formula. a = 1 b = -7 x = -(-7)/(2 * 1) x = 7/2Simplify to Find Axis: Simplify the expression to find the axis of symmetry. x = 7/2 This is already simplified and represents the equation of the axis of symmetry for the given parabola.

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Find the equation of the axis of symmetry for the parabola $y = x^2 - 7x + 9$ . $\newline$ 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 + 9

\newline

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

\newline

_____

Identify Coefficients: Identify the coefficients of the quadratic equation. $\newline$ The quadratic equation is given in the form $y = ax^2 + bx + c$ . For the parabola $y = x^2 − 7x + 9$ , we can identify the coefficients as follows: $\newline$ $a = 1$ (coefficient of $x^2$ ) $\newline$ $b = -7$ (coefficient of $x$ ) $\newline$ $c = 9$ (constant term)
Use Axis of Symmetry Formula: Use the formula for the axis of symmetry. $\newline$ The axis of symmetry for a parabola given by the equation $y = ax^2 + bx + c$ is $x = -\frac{b}{2a}$ . We will substitute the values of $a$ and $b$ into this formula to find the axis of symmetry.
Substitute Values into Formula: Substitute the values of $a$ and $b$ into the formula. $\newline$ $a = 1$ $\newline$ $b = -7$ $\newline$ $x = -(-7)/(2 \cdot 1)$ $\newline$ $x = \frac{7}{2}$
Simplify to Find Axis: Simplify the expression to find the axis of symmetry. $\newline$ $x = \frac{7}{2}$ $\newline$ This is already simplified and represents the equation of the axis of symmetry for the given parabola.