Find the equation of the axis of symmetry for the parabola y = x^2 + 3/2 . Simplify any numbers and write them as proper fractions, improper fractions, or integers. _____

Identifying Quadratic Equation: The general form of a quadratic equation is y = ax^2 + bx + c. In the equation y = x^2 + 3/2, we can see that a = 1, b = 0 (since there is no x term), and c = 3/2.Finding 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 a = 1 and b = 0 into the formula x = -b/(2a) to find the axis of symmetry. x = -0/(2 * 1) x = 0Axis of Symmetry Calculation: The equation of the axis of symmetry for the parabola y = x^2 + 3/2 is x = 0.

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Find the equation of the axis of symmetry for the parabola $y = x^2 + \frac{3}{2}$ . $\newline$ 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{3}{2}

\newline

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

\newline

\_\_

Identifying Quadratic Equation: The general form of a quadratic equation is $y = ax^2 + bx + c$ . In the equation $y = x^2 + \frac{3}{2}$ , we can see that $a = 1$ , $b = 0$ (since there is no $x$ term), and $c = \frac{3}{2}$ .
Finding Axis of Symmetry Formula: The axis of symmetry for a parabola given by the equation $y = ax^2 + bx + c$ is $x = -\frac{b}{2a}$ . We will use this formula to find the axis of symmetry for the given parabola.
Substitute Values: Substitute $a = 1$ and $b = 0$ into the formula $x = -\frac{b}{2a}$ to find the axis of symmetry. $\newline$ $x = -\frac{0}{2 \times 1}$ $\newline$ $x = 0$
Axis of Symmetry Calculation: The equation of the axis of symmetry for the parabola $y = x^2 + \frac{3}{2}$ is $x = 0$ .