Find the equation of the axis of symmetry for the parabola y = x^2 + 6x . Simplify any numbers and write them as proper fractions, improper fractions, or integers. _____

Identify coefficients: Identify the coefficients a and b from the given quadratic equation y = x^2 + 6x. The standard form of a quadratic equation is y = ax^2 + bx + c. By comparing, we can see that a = 1 and b = 6.Use 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 = -6/(2 × 1)Simplify expression: Simplify the expression to find the value of x that represents the axis of symmetry. x = -6/2 x = -3

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Find the equation of the axis of symmetry for the parabola $y = x^2 + 6x$ . $\newline$ 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

\newline

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

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\_\_\_\_\_

Identify coefficients: Identify the coefficients $a$ and $b$ from the given quadratic equation $y = x^2 + 6x$ . The standard form of a quadratic equation is $y = ax^2 + bx + c$ . By comparing, we can see that $a = 1$ and $b = 6$ .
Use axis of symmetry formula: Use the formula for the axis of symmetry for a parabola, which is $x = -\frac{b}{2a}$ . Substitute the values of $a$ and $b$ into the formula to find the axis of symmetry. $x = -\frac{6}{2 \times 1}$
Simplify expression: Simplify the expression to find the value of $x$ that represents the axis of symmetry. $x = \frac{-6}{2}$ $x = -3$