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Explain the advantage of writing a quadratic function in standard form.

Explain why the condition of $a \neq 0$ is imposed in the definition of the quadratic function.

What two algebraic methods can be used to find the horizontal intercepts of a quadratic function?

Explain the difference between the coefficient of a power function and its degree.

In general, explain the end behavior of a power function with odd degree if the leading coefficient is positive.

What can we conclude if, in general, the graph of a polynomial function exhibits the following end behavior? As $x \rightarrow-\infty, f(x) \rightarrow-\infty$ and as $x \rightarrow \infty,$ $f(x) \rightarrow-\infty.$