Quadratic functions
Analysis
Area between functions
Change of signs
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Derivation
Finding functions
Functions
Inflection points
Integral calculus
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Intersection with axes
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Tangents
Turning points
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Quadratic equations
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p,qFormula
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Menü
Converting quadratic functions
Enter your quadratic function here.
Instead of x², you can also write x^2.
Get the following form:
Vertex form
Normal form
Factorized form
Get a quadratic function from its roots
Enter the roots and an additional point on the Graph. Mathepower finds the function.
Roots at
and
Further point on the Graph:
P(

)
Calculate a quadratic function given the vertex point
Enter the vertex point and another point on the graph.
Vertex point:
(

)
Further point:
(

)
Computing a quadratic function out of three points
Enter three points. Mathepower calculates the quadratic function whose graph goes through those points.
Point
A(

)
Point
B(

)
Point
C(

)
Find the roots
Enter the function whose roots you want to find.
Hints: Enter
as
3*x^2
,
as
(x+1)/(x2x^4)
and
as
3/5.
Transforming functions
Enter your function here.
How shall your function be transformed?
By
in xdirection
stretched
shrinked
By
in ydirection
stretched
shrinked
By
to the
the right
l the left
By
to the
up
down
Find a function
Degree of the function:
1
2
3
4
5
(
The degree is the highest power of an x.
)
Symmetries:
axis symmetric to the yaxis
point symmetric to the origin
yaxis intercept
Roots / Maxima / Minima /Inflection points:
root
Maximum
Minimum
Inflection point
at
x=
root
Maximum
Minimum
Inflection point
at
x=
root
Maximum
Minimum
Inflection point
at
x=
root
Maximum
Minimum
Inflection point
at
x=
root
Maximum
Minimum
Inflection point
at
x=
Characteristic points:
Point
Maximum turning point
Minimum turning point
Saddle point
Inflection point
at

)
Point
Maximum turning point
Minimum turning point
Saddle point
Inflection point
at

)
Point
Maximum turning point
Minimum turning point
Saddle point
Inflection point
at

)
Point
Maximum turning point
Minimum turning point
Saddle point
Inflection point
at
(

)
Point
Maximum turning point
Minimum turning point
Saddle point
Inflection point
at
(

)
Slope at given xcoordinates:
Slope
at
x=
Slope
at
x=
Slope
at
What are quadratic functions?
Quadratic functions are functions of the form
. This means, there is no x to a higher power than
.