## Investigate different forms of quadratic functions. Move the sliders in order to find out what each form 'reveals' about the graph.

## FACTORED FORM

What does the factored form tell us about the graph of the function? Why is it useful?

## VERTEX FORM

What does the vertex form tell us about the graph of the function? Why is it useful?

## EXPANDED/STANDARD FORM

What does the expanded (also called standard) form tell us about the graph of the function? Why is it useful?

## What are the zeros of the function f given below (in three different forms)

## Sketch quadratic functions with given properties

In the 'Input' window, enter examples of quadratic functions with given properties:
a) function f has vertex at (-2, -3)
b) function g has zeros at -4 and 5
c) function h has y-intercept at (0,2)
d) function p has at least one of the zeros at x=0