2. Complex Numbers & Quadratics

Given the general quadratic equation $y=ax^2+bx+c$`y`=`a``x`2+`b``x`+`c`, $a\ne0$`a`≠0, consider the following statement:

The vertex of the graph will be located at $x=\frac{b}{2a}$`x`=`b`2`a`.

a

Is the statement true?

Yes

A

No

B

Yes

A

No

B

b

What should the $x$`x` value of the vertex actually be?

Easy

Approx a minute

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Graph functions expressed algebraically and show key features of the graph both by hand and by using technology.

Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.