Question:

Please help me come up with some examples of Quadratic Functions?

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Here is the question:

The graph of a quadratic function can have 0, 1, or 2 x intercepts.

How can you predict the number of x intercepts without drawing the graph or (completely) solving an equation? Give examples for each situation: 0, 1, or 2 x-intercepts.

Here is my answer without the examples they are asking for, which is what i need help with:

Answer

a quadratic equation has the form ax^2 +bx +c = 0

calculate the radical b^2 -4ac.

if that is zero, there is only one intercept

if that is positive, there are two intercepts

if that is negative, there are only imaginary solutions and no intercepts.

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  1. Good answer.

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