Find the equation of the axis of symmetry for the parabola y = x^2 + 37/10 . Simplify any numbers and write them as proper fractions, improper fractions, or integers. _____

Identify coefficients: Identify the coefficients of the quadratic equation. The given parabola is y = x^2 + 37/10. This can be compared to the standard form of a quadratic equation, which is y = ax^2 + bx + c. In this case, a = 1, b = 0 (since there is no x term), and c = 37/10.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 = 0 into the formula x = -b/(2a). x = -0/(2 * 1) x = 0/2 x = 0 The axis of symmetry is the vertical line x = 0.

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Find the equation of the axis of symmetry for the parabola $y = x^2 + \frac{37}{10}$ . $\newline$ 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{37}{10}

\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 given parabola is $y = x^2 + \frac{37}{10}$ . This can be compared to the standard form of a quadratic equation, which is $y = ax^2 + bx + c$ . In this case, $a = 1$ , $b = 0$ (since there is no $x$ term), and $c = \frac{37}{10}$ .
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 $b = 0$ into the formula $x = -\frac{b}{2a}$ . $\newline$ $x = -\frac{0}{2 \times 1}$ $\newline$ $x = \frac{0}{2}$ $\newline$ $x = 0$ $\newline$ The axis of symmetry is the vertical line $x = 0$ .