1. **State the problem:** Find the axis of symmetry for the quadratic function $$y = x^2 - 11x + 24$$.
2. **Formula used:** The axis of symmetry for a quadratic function in the form $$y = ax^2 + bx + c$$ is given by the formula:
$$x = -\frac{b}{2a}$$
3. **Identify coefficients:** Here, $$a = 1$$, $$b = -11$$, and $$c = 24$$.
4. **Apply the formula:**
$$x = -\frac{-11}{2 \times 1} = \frac{11}{2}$$
5. **Interpretation:** The axis of symmetry is the vertical line that passes through $$x = \frac{11}{2}$$ or $$x = 5.5$$.
6. **Conclusion:** The axis of symmetry of the parabola $$y = x^2 - 11x + 24$$ is the line $$x = 5.5$$.
Axis Symmetry 601140
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.