Exploring the properties of quadratic functions of the form y = a (x - h)^2 + k.

1. For positive values of a, what happens to the graph of y = a (x - h)^2 + k as a increases? decreases?
2. For negative values of a, what happens to the graph of y = a (x - h)^2 + k as a increases? decreases?
3. How does having a positve value for a differ from having a negative value for a?
4. How does the value of h affect the graph of y = a (x - h)^2 + k? Give examples to support your answer.
5. How does the value of k affect the graph of y = a (x - h)^2 + k? Give examples to support your answer.
6. How can you use the values of h and k to graph a quadratic function written in the form y = a (x - h)^2 + k ?