Overview of Quadratic Functions
A Quadratic Function is an Algebraic equation of two variables. One variable
is a second degree while the other is first. One variable is called independent
variable while the other is called the dependent variable. The independent is
the Horizontal variable while the dependent variable is the Vertical variable.
The sketches below represent all possible solutions to these Quadratic Functions.
Quadratic Functions (equations) normally appear in distinct arrangements:
Standard Form: f(x) = ax2 + bx + c, A,B,C are real numbers.
Other essential characteristics is that a is nonzero real number and f(x) = y
also, x is considered the Domain (H values) while y the Range (V values).
Each illustration below could
exist in an opposite direction. Up or Down
If
the domain of X is the real numbers then the Quadratic will cross the X axis
twice.
y = +x2 –3x y = –x2 +9
y
= x2
y = –x2 –x +6 y= +x2 –x –2
There are many relations between terms of a Quadratic Equation and Solution Set (Curve).