What are the x-intercepts of a quadratic function?
An example of an AI chatbot conversation about finding x-intercepts of quadratic functions.
What are the x-intercepts of a quadratic function?
The x-intercepts of a quadratic function are the points where the graph intersects the x-axis. They can be found by solving the equation ax² + bx + c = 0.
How do I find them using the quadratic formula?
You can use the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a). This will give you the x-intercepts.
Can you give me an example with specific numbers?
Sure! For the quadratic function f(x) = 2x² - 4x - 6, you would use a = 2, b = -4, and c = -6 in the formula.
What are the x-intercepts for that function?
Plugging the values into the quadratic formula, you get x = 3 and x = -1. Those are the x-intercepts!
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