How to reflect on the x-axis

Free Mathematics Tutorials

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 in f (x) above.

Tutorial 1 - click the button above "Click here to start" and maximize the window reached.

2 - Use the parameter slider set a zero, zero parameter b and c parameter 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 zero, choose non-zero values ​​for b to get a linear function. How can one get the graph of h (x) from that of f (x)? (Tip: Compare the positions of the points (x, f (x)) and (x, -f (x)))

4 - Choose a non-zero value for one to get a quadratic function. Compare the two graphs and explain the reflection of the graph of f (x) in the x-axis. How can one get the graph of f (x) from that of f (x)?

More about reflections:

Reflection of graph in y-axis.

Reflection Of Graphs Of Functions.