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

Identify Axis of Symmetry Formula: The axis of symmetry for a parabola in the form y = ax^2 + bx + c is given by the formula x = -b/(2a). We will use the values of a and b that we found in the previous step to find the axis of symmetry.Substitute Values for a and b: Substitute a = 1 and b = 0 into the formula x = -b/(2a) to find the axis of symmetry. 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 $y = x^2 - 6$ . $\newline$ 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 - 6

\newline

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

\newline

\_\_

Identify Axis of Symmetry Formula: The axis of symmetry for a parabola in the form $y = ax^2 + bx + c$ is given by the formula $x = -\frac{b}{2a}$ . We will use the values of $a$ and $b$ that we found in the previous step to find the axis of symmetry.
Substitute Values for $a$ and $b$ : Substitute $a = 1$ and $b = 0$ into the formula $x = -\frac{b}{2a}$ to find the axis of symmetry. $\newline$ $x = -\frac{0}{2 \times 1}$ $\newline$ $x = \frac{0}{2}$ $\newline$ $x = 0$ $\newline$ The axis of symmetry is the vertical line $x = 0$ .