Topics
7. Quadratic Functions
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United States of AmericaTennessee
Algebra 1

7.03 Quadratic functions in factored form

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 function: $y=\left(x-4\right)\left(x-2\right)$y=(x−4)(x−2)

Easy
4min

Consider the function $y=x\left(x+2\right)$y=x(x+2).

Easy
5min

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

Easy
5min
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Outcomes

A1.N.Q.A.1

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

A1.N.Q.A.1.A

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

A1.A.CED.A.2

Create equations in two variables to represent relationships between quantities and use them to solve problems in a real-world context. Graph equations with two variables on coordinate axes with labels and scales, and use the graphs to make predictions.*

A1.A.CED.A.3

Create individual and systems of equations and/or inequalities to represent constraints in a contextual situation, and interpret solutions as viable or non-viable.*

A1.A.REI.D.5

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

A1.F.IF.C.7

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

A1.F.IF.C.8

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

A1.F.IF.C.8.A

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

A1.F.IF.C.9

Compare properties of functions represented algebraically, graphically, numerically in tables, or by verbal descriptions.*

A1.F.IF.C.9.A

Compare properties of two different functions. Functions may be of different types and/or represented in different ways.

A1.MP1

Make sense of problems and persevere in solving them.

A1.MP2

Reason abstractly and quantitatively.

A1.MP3

Construct viable arguments and critique the reasoning of others.

A1.MP4

Model with mathematics.

A1.MP6

Attend to precision.

A1.MP7

Look for and make use of structure.

A1.MP8

Look for and express regularity in repeated reasoning.

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