Parabola Axis of Symmetry: Example 6

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.

This example presents the quadratic function f(x) = 2x² + 4x + 7. To find the axis of symmetry, we apply x = -b / (2a). Here, a = 2 and b = 4. Substituting these values, we get x = -1. Therefore, the axis of symmetry is x = -1. This vertical line bisects the parabola, creating a mirror image on either side and passing through its vertex.

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