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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

III.F.IF.7

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

III.F.IF.7.c

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

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