Find the equation of the axis of symmetry for the parabola y = x^2 − 2x − 3/10 . Simplify any numbers and write them as proper fractions, improper fractions, or integers. _____

Identify Coefficients: Identify the coefficients of the quadratic equation. The given quadratic equation is y = x^2 - 2x - 3/10. We can compare this with the standard form of a quadratic equation, which is y = ax^2 + bx + c, to find the values of a, b, and c. Here, a = 1, b = -2, and c = -3/10.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.Calculate Axis of Symmetry: Calculate the axis of symmetry. Substitute a = 1 and b = -2 into the formula x = -b/(2a). x = -(-2)/(2*1) x = 2/2 x = 1 The axis of symmetry is the line x = 1.

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Find the equation of the axis of symmetry for the parabola $y = x^2 - 2x - \frac{3}{10}$ . $\newline$ 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 - 2x - \frac{3}{10}

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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 given quadratic equation is $y = x^2 - 2x - \frac{3}{10}$ . We can compare this with the standard form of a quadratic equation, which is $y = ax^2 + bx + c$ , to find the values of $a$ , $b$ , and $c$ . $\newline$ Here, $a = 1$ , $b = -2$ , and $c = -\frac{3}{10}$ .
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.
Calculate Axis of Symmetry: Calculate the axis of symmetry. $\newline$ Substitute $a = 1$ and $b = -2$ into the formula $x = -\frac{b}{2a}$ . $\newline$ $x = -(-2)/(2\cdot 1)$ $\newline$ $x = \frac{2}{2}$ $\newline$ $x = 1$ $\newline$ The axis of symmetry is the line $x = 1$ .