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).
A quadratic function of the form
f(x) = ax^{2} + bx + c
is used to explore the relationship between the graphs of f(x), f(x), f(x) and f(x).
TUTORIAL
1  click on the button above "click here to start" and MAXIMIZE the window obtained.
2  The four graphs displayed are those of functions f(x), f(x), f(x) and f(x). 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).

