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How do you find the axis of symmetry in a quadratic equation

A) By taking the average of the x-intercepts.
B) By factoring the quadratic expression.
C) By solving for x in the equation ax² + bx + c = 0.
D) By using the formula x = -b/(2a), where the quadratic equation is in the form ax² + bx + c.

1 Answer

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Final answer:

The axis of symmetry in a quadratic equation is found using the formula x = -b/(2a), where the quadratic equation is in the form ax² + bx + c = 0.

Step-by-step explanation:

The axis of symmetry in a quadratic equation can be found by using the formula x = -b/(2a), where the quadratic equation is in the form ax² + bx + c = 0. This formula gives the x-coordinate of the vertex of the parabola represented by the quadratic equation. The axis of symmetry is a vertical line passing through the vertex, so the x-coordinate of the vertex represents the equation's axis of symmetry.

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