Find the equation of the axis of symmetry for the parabola y = x^2 + 5x + 2 . Simplify any numbers and write them as proper fractions, improper fractions, or integers. _____

Identify coefficients: Identify the coefficients a, b, and c from the quadratic equation y = ax^2 + bx + c. In the given equation y = x^2 + 5x + 2, we compare it to the standard form and find: a = 1 b = 5 c = 2Use axis of symmetry formula: Use the formula for the axis of symmetry for a parabola, which is x = -b/(2a). Substitute the values of a and b into the formula to find the axis of symmetry. x = -5/(2 × 1)Simplify expression: Simplify the expression to find the value of x that represents the axis of symmetry. x = -5/2 This is 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 $y = x^2 + 5x + 2$ . $\newline$ 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 + 5x + 2

\newline

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

\newline

\_\_

Identify coefficients: Identify the coefficients $a$ , $b$ , and $c$ from the quadratic equation $y = ax^2 + bx + c$ . $\newline$ In the given equation $y = x^2 + 5x + 2$ , we compare it to the standard form and find: $\newline$ $a = 1$ $\newline$ $b = 5$ $\newline$ $c = 2$
Use axis of symmetry formula: Use the formula for the axis of symmetry for a parabola, which is $x = -\frac{b}{2a}$ . $\newline$ Substitute the values of $a$ and $b$ into the formula to find the axis of symmetry. $\newline$ $x = -\frac{5}{2 \times 1}$
Simplify expression: Simplify the expression to find the value of $x$ that represents the axis of symmetry. $x = -\frac{5}{2}$ This is the equation of the axis of symmetry for the given parabola.