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A quadratic function of the form
f(x) = ax2 + 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 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).
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