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Quadratic Functions and Equations
Quadratic Functions :
The equation in the form y=ax^{2}+bx+c is called quadratic function.
A quadratic function has degree 2.
Example:
1. Find a, b, and c for the quadratic function
Solution : First write the standard form y=ax^{2}+bx+c
Now find a, b, c by comparing both equations.
Therefore we have a=1, b=3, and c=5
Note: if a function is not in a standard form, you can
reorder the terms . First write the x^{2} term, then x term and
write the constant term last .
Graphs of Quadratic Functions:
To graph a Quadratic Function, first make a table of
values for a quadratic function. Then you can graph the
ordered pairs to see the graph of the quadratic function.
Note: The graph of quadratic function is not a straight
line . You should connect the points with a curved line .
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