Find the equation of the axis of symmetry for the parabola y = x^2 + 61/10 . Simplify any numbers and write them as proper fractions, improper fractions, or integers. _____

Identify Quadratic Equation: The general form of a quadratic equation is y = ax^2 + bx + c. In the equation y = x^2 + 61/10, we can see that a = 1, b = 0, and c = 61/10. We need to find the axis of symmetry, which is given by the formula x = -b/(2a).Find Values of a, b, c: Substitute the values of a and b into the formula for the axis of symmetry: x = -b/(2a). Here, a = 1 and b = 0, so x = -0/(2*1).Calculate Axis of Symmetry: Calculate the value of x: x = -0/(2*1) = 0/2 = 0. Therefore, the axis of symmetry is x = 0.

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Find the equation of the axis of symmetry for the parabola $y = x^2 + \frac{61}{10}$ . $\newline$ 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 + \frac{61}{10}

\newline

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

\newline

\_\_

Identify Quadratic Equation: The general form of a quadratic equation is $y = ax^2 + bx + c$ . In the equation $y = x^2 + \frac{61}{10}$ , we can see that $a = 1$ , $b = 0$ , and $c = \frac{61}{10}$ . We need to find the axis of symmetry, which is given by the formula $x = -\frac{b}{2a}$ .
Find Values of a, b, c: Substitute the values of a and b into the formula for the axis of symmetry: $x = -\frac{b}{2a}$ . Here, $a = 1$ and $b = 0$ , so $x = -\frac{0}{2\cdot 1}$ .
Calculate Axis of Symmetry: Calculate the value of $x$ : $x = -\frac{0}{(2\cdot1)} = \frac{0}{2} = 0$ . Therefore, the axis of symmetry is $x = 0$ .