formula of axis of symmetry
The formula for finding the axis of symmetry of a quadratic function in the form \(f(x) = ax^2 + bx + c\) is:
\[x = \frac{-b}{2a}\]
In this formula, “a” represents the coefficient of the \(x^2\) term, “b” represents the coefficient of the \(x\) term, and “c” represents the constant term
The formula for finding the axis of symmetry of a quadratic function in the form \(f(x) = ax^2 + bx + c\) is:
\[x = \frac{-b}{2a}\]
In this formula, “a” represents the coefficient of the \(x^2\) term, “b” represents the coefficient of the \(x\) term, and “c” represents the constant term.
The axis of symmetry is a vertical line that divides the parabola into two equal halves. This line passes through the vertex of the parabola. By using the formula mentioned above, you can determine the x-coordinate of the vertex, which in turn gives you the equation of the axis of symmetry.
To find the axis of symmetry using the formula, follow these steps:
1. Identify the values of “a”, “b”, and “c” in the quadratic equation.
2. Plug these values into the formula: \(x = \frac{-b}{2a}\)
3. Simplify and calculate the value of “x”.
4. The axis of symmetry is a vertical line represented by the equation \(x = \text{value of } x\).
By using this formula, you can determine the axis of symmetry for any quadratic function.
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