Find the equation of the axis of symmetry for the parabola y = x^2 + 6x + 71/10 . Simplify any numbers and write them as proper fractions, improper fractions, or integers. _____

Identify Coefficients: Identify the coefficients of the quadratic equation. The quadratic equation is given in the form y = ax^2 + bx + c. For the parabola y = x^2 + 6x + 71/10, we can identify the coefficients as follows: a = 1 (coefficient of x^2) b = 6 (coefficient of x) c = 71/10 (constant term)Use Axis of Symmetry Formula: Use the formula for the axis of symmetry. The axis of symmetry for a parabola in the form y = ax^2 + bx + c is given by 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 into Formula: Substitute the values of a and b into the formula. Using a = 1 and b = 6, we get: x = -b/(2a) x = -6/(2*1) x = -6/2 x = -3 The equation of the axis of symmetry is x = -3.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the equation of the axis of symmetry for the parabola $y = x^2 + 6x + \frac{71}{10}$ . $\newline$ Simplify any numbers and write them as proper fractions, improper fractions, or integers. $\newline$ $\_\_$

View step-by-step help

Home

Math Problems

Algebra 2

Characteristics of quadratic functions: equations

Full solution

Q. Find the equation of the axis of symmetry for the parabola

y = x^2 + 6x + \frac{71}{10}

\newline

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

\newline

\_\_

Identify Coefficients: Identify the coefficients of the quadratic equation. $\newline$ The quadratic equation is given in the form $y = ax^2 + bx + c$ . For the parabola $y = x^2 + 6x + \frac{71}{10}$ , we can identify the coefficients as follows: $\newline$ $a = 1$ (coefficient of $x^2$ ) $\newline$ $b = 6$ (coefficient of $x$ ) $\newline$ $c = \frac{71}{10}$ (constant term)
Use Axis of Symmetry Formula: Use the formula for the axis of symmetry. $\newline$ The axis of symmetry for a parabola in the form $y = ax^2 + bx + c$ is given by 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 into Formula: Substitute the values of $a$ and $b$ into the formula. $\newline$ Using $a = 1$ and $b = 6$ , we get: $\newline$ $x = -\frac{b}{2a}$ $\newline$ $x = -\frac{6}{2 \times 1}$ $\newline$ $x = -\frac{6}{2}$ $\newline$ $x = -3$ $\newline$ The equation of the axis of symmetry is $x = -3$ .