Find the equation of the axis of symmetry for the parabola y = x^2 − 6x + 3/4 . 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 by y = ax^2 + bx + c. In the equation y = x^2 - 6x + 3/4, we can compare and identify the coefficients as follows: a = 1 (coefficient of x^2) b = -6 (coefficient of x) c = 3/4 (constant term)Use Axis of Symmetry Formula: Use the formula for the axis of symmetry. The axis of symmetry for a parabola given by 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: Substitute the values of a and b into the formula. a = 1 b = -6 x = -(-6)/(2 * 1) x = 6/2 x = 3 The axis of symmetry is the line x = 3.

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Find the equation of the axis of symmetry for the parabola $y = x^2 - 6x + \frac{3}{4}$ . $\newline$ 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 - 6x + \frac{3}{4}

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

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\_\_

Identify Coefficients: Identify the coefficients of the quadratic equation. $\newline$ The quadratic equation is given by $y = ax^2 + bx + c$ . In the equation $y = x^2 - 6x + \frac{3}{4}$ , we can compare and identify the coefficients as follows: $\newline$ $a = 1$ (coefficient of $x^2$ ) $\newline$ $b = -6$ (coefficient of $x$ ) $\newline$ $c = \frac{3}{4}$ (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 $y = ax^2 + bx + c$ 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: Substitute the values of $a$ and $b$ into the formula. $\newline$ $a = 1$ $\newline$ $b = -6$ $\newline$ $x = -(-6)/(2 \cdot 1)$ $\newline$ $x = 6/2$ $\newline$ $x = 3$ $\newline$ The axis of symmetry is the line $x = 3$ .