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
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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 x-axis to explain the relationship between the graphs of f(x) and that of -f(x).
B ) Use the tutorial on reflections of graphs in y-axis 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 x-axis.
Reflection Of Graphs Of Functions.
