Subjects algebra

Axis Symmetry 488Eb2

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1. **State the problem:** Find the axis of symmetry for the quadratic function $$x^2 - 7x + 14$$. 2. **Recall the formula:** The axis of symmetry for a quadratic function $$ax^2 + bx + c$$ is given by the formula: $$x = -\frac{b}{2a}$$ 3. **Identify coefficients:** Here, $$a = 1$$, $$b = -7$$, and $$c = 14$$. 4. **Substitute values into the formula:** $$x = -\frac{-7}{2 \times 1} = \frac{7}{2}$$ 5. **Simplify the fraction:** The fraction $$\frac{7}{2}$$ is already in simplest form. 6. **Final answer:** The axis of symmetry is $$x = \frac{7}{2}$$. This means the parabola is symmetric about the vertical line $$x = \frac{7}{2}$$.