Parabola Axis of Symmetry: Example 2

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) = 3x² - 12x + 4. To find the axis of symmetry, we apply the formula x = -b / (2a). Here, a = 3 and b = -12. Plugging these values into the formula, we get x = 2. This vertical line bisects the parabola, creating a mirror image on either side. This can also be used to find the vertex form of the parabola.

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