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

Identify values of a, b, c: The general form of a quadratic equation is y = ax^2 + bx + c. We need to identify the values of a, b, and c in the given equation y = x^2 - 5/2.Compare with general form: Comparing y = x^2 - 5/2 with y = ax^2 + bx + c, we can see that a = 1, b = 0, and c = -5/2. The coefficient b is zero because there is no x term in the given equation.Find axis of symmetry: The axis of symmetry for a parabola given by y = ax^2 + bx + c is found using the formula x = -b/(2a). We will substitute the values of a and b into this formula to find the axis of symmetry.Substitute values and calculate: Substitute a = 1 and b = 0 into the formula x = -b/(2a) to find the axis of symmetry. x = -0/(2 * 1) x = 0 The axis of symmetry for the parabola y = x^2 - 5/2 is x = 0.

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Find the equation of the axis of symmetry for the parabola $y = x^2 - \frac{5}{2}$ . $\newline$ 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 - \frac{5}{2}

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

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Identify values of $a$ , $b$ , $c$ : The general form of a quadratic equation is $y = ax^2 + bx + c$ . We need to identify the values of $a$ , $b$ , and $c$ in the given equation $y = x^2 - \frac{5}{2}$ .
Compare with general form: Comparing $y = x^2 - \frac{5}{2}$ with $y = ax^2 + bx + c$ , we can see that $a = 1$ , $b = 0$ , and $c = -\frac{5}{2}$ . The coefficient $b$ is zero because there is no $x$ term in the given equation.
Find axis of symmetry: The axis of symmetry for a parabola given by $y = ax^2 + bx + c$ is found using the formula $x = -\frac{b}{2a}$ . We will substitute the values of $a$ and $b$ into this formula to find the axis of symmetry.
Substitute values and calculate: Substitute $a = 1$ and $b = 0$ into the formula $x = -\frac{b}{2a}$ to find the axis of symmetry. $\newline$ $x = -\frac{0}{2 \times 1}$ $\newline$ $x = 0$ $\newline$ The axis of symmetry for the parabola $y = x^2 - \frac{5}{2}$ is $x = 0$ .