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 $$x = \frac{7}{2}$$.
Axis Symmetry 488Eb2
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