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2.03 Quadratic functions in factored form

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=(x4)(x2)

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(x4).

Easy
5min
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Outcomes

M2.N.Q.A.1

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

M2.N.Q.A.1.A

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

M2.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.*

M2.A.CED.A.3

Rearrange formulas to isolate a quantity of interest using algebraic reasoning.*

M2.F.IF.A.2

Understand geometric formulas as functions.*

M2.F.IF.C.7.A

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

M2.MP1

Make sense of problems and persevere in solving them.

M2.MP2

Reason abstractly and quantitatively.

M2.MP3

Construct viable arguments and critique the reasoning of others.

M2.MP4

Model with mathematics.

M2.MP6

Attend to precision.

M2.MP7

Look for and make use of structure.

M2.MP8

Look for and express regularity in repeated reasoning.

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