Find the equation of the axis of symmetry for the parabola y = x^2 − 4x + 13/5 . Simplify any numbers and write them as proper fractions, improper fractions, or integers. _____

Substitute values into formula: The axis of symmetry for a parabola given by the equation y = ax^2 + bx + c is x = -b/(2a). We already have the values of a and b from the previous step: a = 1 b = -4 Now we substitute these values into the formula for the axis of symmetry: x = -(-4)/(2 * 1)Perform calculation: Perform the calculation to find the value of x for the axis of symmetry: x = 4/(2 * 1) x = 4/2 x = 2

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Find the equation of the axis of symmetry for the parabola $y = x^2 - 4x + \frac{13}{5}$ . $\newline$ 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 - 4x + \frac{13}{5}

\newline

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

\newline

_____

Substitute values into formula: The axis of symmetry for a parabola given by the equation $y = ax^2 + bx + c$ is $x = -\frac{b}{2a}$ . $\newline$ We already have the values of $a$ and $b$ from the previous step: $\newline$ $a = 1$ $\newline$ $b = -4$ $\newline$ Now we substitute these values into the formula for the axis of symmetry: $\newline$ $x = -\frac{-4}{2 \times 1}$
Perform calculation: Perform the calculation to find the value of $x$ for the axis of symmetry: $\newline$ $x = \frac{4}{2 \times 1}$ $\newline$ $x = \frac{4}{2}$ $\newline$ $x = 2$