Reflection Of Graphs In xaxis
This is an applet to explore the reflection of graphs in the xaxis by comparing the graphs of f(x) (in blue) and h(x) =  f(x) (in red).
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.
TUTORIAL
1  click on the button above "click here to start" and MAXIMIZE the window obtained.
2  Use the sliders to set parameter a to zero, parameter b to zero and parameter c to a non zero value; f(x) is a constant function. Compare the graph of f(x) in blue and that of  f(x) in red. Explain.
3  Keep the value of a equal to zero, select non zero values for b to obtain a linear function . How can the graph of h(x) be obtained from that of f(x)? (Hint: compare the positions of points (x,f(x)) and (x,f(x)) )
4  Select a non zero value for a to obtain a quadratic function . Compare the two graphs and explain the reflection of the graph of f(x) in the xaxis.
How can the graph of f(x) be obtained from that of f(x)?
More on reflections:
Reflection Of Graphs In yaxis.
Reflection Of Graphs Of Functions.

