Reflection Of Graphs on the x-axis

This is an html 5 applet to explore the reflection of graphs in the x-axis by comparing the graphs of f(x)(in blue) and of - 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. Follow the tutorial below.


a =

b =

c =

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 x-axis.

Reflection Of Graphs Of Functions.