Find the equation of the axis of symmetry for the parabola y = x^2 + 3x − 5 . Simplify any numbers and write them as proper fractions, improper fractions, or integers. _____

Identify coefficients: Identify the coefficients a, b, and c in the quadratic equation y = ax^2 + bx + c. The given equation is y = x^2 + 3x − 5. Here, a = 1, b = 3, and c = -5.Use axis of symmetry formula: Use the formula for the axis of symmetry, which is x = -b/(2a). Substitute the values of a and b into the formula. x = -3/(2*1)Simplify expression: Simplify the expression to find the value of x. x = -3/2 This is the equation of the axis of symmetry for the given parabola.

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Find the equation of the axis of symmetry for the parabola $y = x^2 + 3x - 5$ . $\newline$ 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 + 3x - 5

\newline

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

\newline

\_\_\_\_\_

Identify coefficients: Identify the coefficients $a$ , $b$ , and $c$ in the quadratic equation $y = ax^2 + bx + c$ . The given equation is $y = x^2 + 3x - 5$ . Here, $a = 1$ , $b = 3$ , and $c = -5$ .
Use axis of symmetry formula: Use the formula for the axis of symmetry, which is $x = -\frac{b}{2a}$ . $\newline$ Substitute the values of $a$ and $b$ into the formula. $\newline$ $x = -\frac{3}{2\cdot 1}$
Simplify expression: Simplify the expression to find the value of $x$ . $x = -\frac{3}{2}$ This is the equation of the axis of symmetry for the given parabola.