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2.04 Review: Graphs and characteristics of quadratic functions

Interactive practice questions

Given the general quadratic equation $y=ax^2+bx+c$y=ax2+bx+c, $a\ne0$a0, consider the following statement:

The vertex of the graph will be located at $x=\frac{b}{2a}$x=b2a.

a

Is the statement true?

Yes

A

No

B
b

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

Easy
1min

Consider the function $y=x^2$y=x2

Easy
4min

This is a graph of $y=x^2$y=x2.

Easy
1min

Consider the equation $y=x^2+5$y=x2+5.

Easy
3min
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Outcomes

MGSE9-12.F.IF.7

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

MGSE9-12.F.IF.7c

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

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