What are some examples of quadratic functions?
An example of an AI chatbot conversation about quadratic functions and their applications.
What are some examples of quadratic functions?
Quadratic functions are typically in the form of f(x) = ax² + bx + c. Examples include f(x) = x², f(x) = 2x² - 3x + 1, and f(x) = -x² + 4.
Can you explain how to graph one of these functions?
Sure! To graph a quadratic function, you can find the vertex, axis of symmetry, and intercepts. For f(x) = x², the vertex is at (0,0), and it opens upwards.
What real-life situations can quadratic functions model?
Quadratic functions can model projectile motion, area problems, and profit maximization in business scenarios.
How do I find the roots of a quadratic function?
You can find the roots using the quadratic formula: x = (-b ± √(b² - 4ac)) / 2a, where a, b, and c are coefficients from the function.
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