Topics
3. Quadratic Functions & Equations
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United States of AmericaTennessee
Algebra 2

3.01 Graphing quadratic functions

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the equation $y=x\left(x+6\right)$y=x(x+6).

a

Find the $y$y-value of the $y$y-intercept of the graph.

b

Find the $x$x-values of the $x$x-intercepts. Write all solutions on the same line separated by a comma.

c

Complete the table of values for the equation.

$x$x $-5$−5 $-4$−4 $-3$−3 $-2$−2 $-1$−1
$y$y $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
d

Find the coordinates of the vertex.

e

Draw the graph of the parabola.

Loading Graph...
Easy
6min

Consider the parabola $y=x\left(6-x\right)$y=x(6−x).

Easy
4min

Consider the parabola $y=\left(x-2\right)\left(x-4\right)$y=(x−2)(x−4).

Easy
4min

Consider the parabola $y=\left(x+5\right)\left(x-1\right)$y=(x+5)(x−1).

Easy
4min
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Outcomes

A2.N.Q.A.1

Use units as a way to understand real-world problems.*

A2.N.Q.A.1.A

Choose and interpret the scale and the origin in graphs and data displays.

A2.F.IF.B.4

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

A2.F.IF.B.5

Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.*

A2.F.IF.B.5.A

Rewrite quadratic functions to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a real-world context.

A2.MP1

Make sense of problems and persevere in solving them.

A2.MP2

Reason abstractly and quantitatively.

A2.MP3

Construct viable arguments and critique the reasoning of others.

A2.MP4

Model with mathematics.

A2.MP6

Attend to precision.

A2.MP7

Look for and make use of structure.

A2.MP8

Look for and express regularity in repeated reasoning.

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