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The
graphs of the cubic function |
Translated
cubic functions |
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Translated
cubic functions |
type
1 |
y
=
a3x3
+ a2x2
+ a1x
+ a0
or
y
-
y0
= a3(x
-
x0)3
where, |
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![](CubicType1.gif) |
![](CubicGraphT1.gif) |
The
root |
![](CubicT1Root.gif) |
The point of inflection I(x0,
y0). |
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type
2/1 |
y
=
a3x3
+ a2x2
+ a1x
+ a0 or
y
-
y0
= a3(x
-
x0)3
+ a1(x
-
x0),
a3
· a1
>
0, |
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![](CubX0Y0.gif) |
![](CubicGraphT21.gif) |
![](CubRootT21.gif) |
I(x0,
y0). |
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type
2/2 |
y
=
a3x3
+ a2x2
+ a1x
+ a0 or
y
-
y0
= a3(x
-
x0)3
+ a1(x
-
x0),
a3
· a1
<
0, |
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![](CubX0Y0.gif) |
![](CubicGraphT22.gif) |
If
| y0
| > |
yT
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![](CubRootT21.gif) |
if
| y0
| < |
yT
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![](CubRootsT22.gif) |
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![](CubRootsT22A.gif) |
The turning points |
![](CubT22TPts.gif) |
The
point of
inflection
I(x0,
y0). |
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Functions
contents C |
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![](HOME1.gif) |
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Copyright
© 2004 - 2020, Nabla Ltd. All rights reserved. |
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