Exploring Quadratic Functions
Note to the students:
In this worksheet you will explore graphs of quadratic functions expressed in general [math]ax^2+bx+c[/math].
Parabola in real life.
With 'b' and 'c' fixed, move the slider for a.Observe the change and answer following questions:
Q1:What change do you observe ?
Q2 When a is zero , the curve is a line. Why?
Q3 Is the curve passing through a fixed point? If yes, then what are the coordinates of this point?
Q4: As value of 'a' becomes larger (when a is positive), what is the effect on the shape of the curve?
Q5:As value of 'a' becomes larger (when a is negative), what is the effect on the shape of the curve.
With a and b fixed, observe the effect of change of value of 'c'on the graph and answer the following questions/
Q6: How is the shape of the curve changing as the value of 'c' changes?
With a and c fixed, observe the effect of change of value of 'b'on the graph and answer the following questions.
Q7: How is the shape of the curve changing as the value of 'b' changes?
Q8: What effect does changing values of 'b' has on the curve?