# Exploring Quadratic Functions

- Author:
- Sangeeta Gulati

## Note to the students:

In this worksheet you will explore graphs of quadratic functions expressed in general .

## 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?