Subjects algebra

Axis Symmetry 601140

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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 $$x = 5.5$$.