Find the equation of the axis of symmetry for the parabola y = x^2 . 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. For the given parabola y = x^2, we can see that a = 1, b = 0, and c is not relevant for finding the axis of symmetry.Use Axis of Symmetry Formula: The axis of symmetry for a parabola given by the equation y = ax^2 + bx + c is x = -b/(2a). We will use this formula to find the axis of symmetry for the given parabola.Substitute Values: 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).Perform Calculation: Perform the calculation: x = -0/(2*1) simplifies to x = 0/2, which further simplifies to x = 0.

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Find the equation of the axis of symmetry for the parabola $y = x^2$ . $\newline$ Simplify any numbers and write them as proper fractions, improper fractions, or integers. $\newline$ $\underline{\hspace{3cm}}$

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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

\newline

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

\newline

\underline{\hspace{3cm}}

Identify Quadratic Equation: The general form of a quadratic equation is $y = ax^2 + bx + c$ . $\newline$ For the given parabola $y = x^2$ , we can see that $a = 1$ , $b = 0$ , and $c$ is not relevant for finding the axis of symmetry.
Use Axis of Symmetry Formula: The axis of symmetry for a parabola given by the equation $y = ax^2 + bx + c$ is $x = -\frac{b}{2a}$ . $\newline$ We will use this formula to find the axis of symmetry for the given parabola.
Substitute Values: Substitute the values of $a$ and $b$ into the formula for the axis of symmetry: $x = -\frac{b}{2a}$ . $\newline$ Here, $a = 1$ and $b = 0$ , so $x = -\frac{0}{2\cdot 1}$ .
Perform Calculation: Perform the calculation: $x = -\frac{0}{2\cdot 1}$ simplifies to $x = 0$ . $\newline$ So, the axis of symmetry is at $x = 0$ .