Parabola Axis of Symmetry: Example 3

Topic

Quadratics

Description

The axis of symmetry is a vertical line that passes through the vertex of a parabola, dividing it into two mirror-image halves. For a quadratic function in the form f(x) = ax² + bx + c, the axis of symmetry can be calculated using the formula x = -b / (2a), where 'a' and 'b' are the coefficients of the quadratic equation.

In this example, we have the quadratic function f(x) = 2x² - 8x + 3. To determine the axis of symmetry, we use x = -b / (2a). Here, a = 2 and b = -8. Calculating, we get x = 3. The axis of symmetry is therefore x = 3. This line passes through the vertex of the parabola, which in this case is the minimum point since the parabola opens upward (a is positive).

For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection.