How do I graph a quadratic equation?
An example of an AI chatbot conversation about graphing quadratic equations.
How do I graph a quadratic equation?
To graph a quadratic equation, you can start by identifying its standard form: y = ax² + bx + c.
What do the coefficients a, b, and c represent?
The coefficient 'a' determines the direction and width of the parabola, 'b' affects the position of the vertex, and 'c' is the y-intercept.
Can you show me how to find the vertex?
Sure! The vertex can be found using the formula x = -b/(2a). Plug this x value back into the equation to find the y value.
What if I want to find the x-intercepts?
You can find the x-intercepts by setting y = 0 and solving the equation ax² + bx + c = 0 using factoring or the quadratic formula.
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