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Mind Expander
Did you know that the function \( f(x) = x^2 - 5x - 6 \) is a perfect example of a quadratic function? Quadratics have a unique U-shaped graph known as a parabola. The vertex of this particular parabola can be found using the formula \( x = -\frac{b}{2a} \), which gives us the maximum or minimum point, depending on the direction it opens! In real-world application, you might encounter such quadratic equations in various scenarios. For instance, if you're trying to determine the potential profit \( P \) from selling \( x \) units of a product, where your profit is represented by a quadratic function like this, solving for \( x \) will help you find the optimal quantity to maximize your revenue.