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Equations of Polynomial Graphs
Contributed by: Smith
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
Which
Graph
Is Shown?
y=x3
 y=(x-2)3
y=(x-2)2
y=3(x-2)
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
Which
Graph
Is Shown?
y=x2
 y=(x-2)2
y= -1(x-2)2
y=2(x-2)
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
Which
Graph
Is Shown?
y=x2
 y=(x-2)3
y=(x-2)2
y=(x-2)
Which
Graph
Is Shown?
y=x3
y=-x3
y=x2
y=-x2
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
Which
Graph
Is Shown?
y=x3
y=-x3
y=x2
y=-x2
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
Which
Graph
Is Shown?
y=-9x3
y=9x3
y=9x2
y=-9x2
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
Which
Graph
Is Shown?
y=¼x3
y=-¼x3
y=¼x2
y=-¼x2
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
What are the x intercepts
(low to high)
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
What are the x intercepts
 zero and two.
it crosses the x-axis
like a linear x1 graph

multiplicity of
it is tangent to the
x-axis like an x2 graph
Multiplicity of
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
Equation is:
y= x2(x-2)
y= x(x-2)2
y= x2(x-2)2
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
The x intercepts
are: (low to high)
and
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
The x intercepts
are: (low to high)
-1 and 1
multiplicity is
multiplicity is
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
y=3(x+1)2
y=3(x-1)2
y=3(x+1)(x-1)2
y=3(x+1)(x-1)
Equation is:
What graphs are shown.........
Spirographs
(retro toy)
The
End
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