Axis of Symmetry Calculator





Formula

The formula to calculate the axis of symmetry (x) is:

\[ x = \frac{-b}{2a} \]

Where:

What is the Axis of Symmetry?

The axis of symmetry of a parabola is a vertical line that divides the parabola into two mirror-image halves. It passes through the vertex of the parabola. The equation of the axis of symmetry can be found using the formula \( x = \frac{-b}{2a} \), where \( a \) and \( b \) are coefficients from the quadratic equation \( ax^2 + bx + c = 0 \).

Example Calculation

Let's assume the following values:

Step 1: Multiply the coefficient of \( x^2 \) term by 2:

\[ 2a = 2 \times 2 = 4 \]

Step 2: Divide the negative value of the slope by the result from Step 1:

\[ x = \frac{-(-8)}{4} = \frac{8}{4} = 2 \]

The axis of symmetry (x) is 2.