Parabola Axis of Symmetry: Example 9

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're given the quadratic function f(x) = 4x² + 16x + 9. To determine the axis of symmetry, we use x = -b / (2a). Here, a = 4 and b = 16. Calculating, we get x = -2. The axis of symmetry is x = -2. This line passes through the vertex of the parabola, creating two mirror-image halves on either side.

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