Parabola Axis of Symmetry: Example 5

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) = 2x² - 4x + 10. To determine the axis of symmetry, we use x = -b / (2a). Here, a = 2 and b = -4. Calculating, we get x = 1. The axis of symmetry is x = 1. This line passes through the vertex of the parabola, which is the minimum point since the parabola opens upward (a is positive).

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