Quadratic functions
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 and sketches the parabola.
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
. The graph of a quadratic function is a parabola.
Analysis
Area between functions
Change of signs
Curve sketching
Derivation
Finding functions
Functions
Inflection points
Integral calculus
Intersection of functions
Intersection with axes
Monotony
Roots
Tangent lines
Turning points
Equations and terms
Binomial formulas
Equations
Fractional equations
Fractional terms
Quadratic equations
Root equations
Root terms
Simplifying terms
Solving equations
Systems of equations
p,qFormula
Functions
Exponentiation functions
Linear functions
Polynomial functions
Quadratic functions
Transforming functions
Vertex form
Fractions
Adding fractions
Cancelling fractions
Decimal fractions
Fraction calculations
Fractions
Multiplying fractions
Multiples and divisors
Divisibility
GCD calculator
Prime factorization
Set of divisors
lcm
Geometry
Arc of a circle
Area calculation
Circle
Cone
Cube
Cuboid
Cylinder
Intercept theorem
Lines
Prisms
Pyramid
Quadrangle
Rectangle
Rhomb
Rhomboid calculator
Rightangled triangle
Sphere
Square
Trapezoid
Triangle calculator
Trigonometry
Volume
Vector analysis
Cross product
Distance Point Plane
Dot product
Intersection line plane
Line intersection
Line through points
Norming vectors
Plane equations
Plane intersection
Point on line
Point on plane
Quadrangle calculator (vectors)
Transforming plane equations
Vector intersection angle
Vector length
Stochastics
Urn model
Basic arithmetics
Addition
Dividing numbers
Multiplication
Subtraction
Mathematics for everyday
Antiproportionalities
Interest calculation
Number systems
Percentage
Proportionalities
Roman numbers
Rule of three
Units