topic badge

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
1 min

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

Easy
4 min

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

Easy
1 min

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

Easy
3 min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

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.

What is Mathspace

About Mathspace