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 "draw" to start.
2  The initial values of a, b and c are 1 , 2 and 1 respectively. Compare the graph of f(x) in blue and that of  f(x) in red. Compare the positions of points (x,f(x)) and (x ,  f(x)). Select and experiment with other values of a, b and c.
3  How can the graph of  f(x) be obtained from that of f(x)? .
5  Why do the graph of f(x) and that of  f(x) have a common x intercepts? .
More on reflections:
Reflection Of Graphs In xaxis.
Reflection Of Graphs Of Functions.
