1. Quadratic Functions
Transformational Form
Standard Form ( sometimes known as the Vertex Form)
General Form

2. Transformational Form Not much info. Will have to use formulae
How much information do each of these forms
tell us about the resulting parabola?
Transformational Form
Standard Form
General Form a k a a h k h
Easy to Graph!
Not much info. Will have to use formulae
Easy to Graph!

3. Transformational Form Standard Form
1. Multiply both sides by the vertical stretch factor “a” or “5”
2. Add the vertical translation “2” to both sides.

4. Express these functions in Standard form

5. Transformational Form General Form
1. Expand the perfect square binomial on the right.
2. Multiply both sides by the vertical stretch factor “a” or “-2”
3. Add or subtract the vertical translation to both sides.

6. Change to General Form!

7. Vertex Form General Form
1. Expand the Binomial
2. Multiply the binomial by “a”
3. Collect the constants.