Reflection Of Graphs Of Functions
The reflections of graphs in the x and y axes are explored by comparing the graphs of f(x), f(x), f(x) and  f(x): f(x) ( blue ) ,  f(x) ( green ), f( x) ( red ) and  f(  x) ( magenta ).
The function f(x) is a quadratic function of the form
f(x) = ax^{ 2} + bx + c
The exploration is carried out by changing the parameters a, b and c included in f(x) above. Follow the tutorial below.
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TUTORIAL
1  click on the button above "draw" to start.
2  The four graphs displayed are those of functions f(x) ( blue ) ,  f(x) ( green ), f( x) ( red ) and  f(  x) ( magenta ). Do the following for different values of parameters a, b and c:
A  Use the tutorial on reflections of graphs in xaxis to explain the relationship between the graphs of f(x) and that of f(x).
B ) Use the tutorial on reflections of graphs in yaxis to explain the relationship between the graphs of f(x) and that of f(x).
3  Use what you have learned above to explain the relationship between:
A ) f(x) and f(x).
B ) f(x) and f(x).
C ) f(x) and f(x).
More on reflections:
Reflection Of Graphs In xaxis.
Reflection Of Graphs Of Functions.
