Parabola Axis of Symmetry: Example 10

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 final example presents the quadratic function f(x) = 4x² + 8x + 6. To find the axis of symmetry, we apply x = -b / (2a). Here, a = 4 and b = 8. 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, which is the minimum point since the parabola opens upward (a is positive).

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