Piece-wise and Quadratic Functions

1. Quadratic Functions

1.1. Forms

1.1.1. y=x^2

1.1.2. Stadard form: y=ax^2+b+c

1.2. Can be solved with or without a calculator

1.2.1. solving for x

1.2.2. X is unknown

1.2.3. 1 term is squared

1.3. Can be graphed

1.3.1. Always 2 solutions

1.3.2. real or imaginary

1.3.3. Always have a curve

2. Piece-wise

2.1. Forms

2.1.1. Translations, reflections, vertical shrinks

2.1.2. h(x) = {2 if x<=1, | x if x>1

2.2. A function with multiple other functions

2.2.1. Continuous breaks in graph

2.2.2. At least 2 equations

2.3. Lots of diversity

2.3.1. The "Pieces" may be all linear, or a combination of forms like, (constant, linear, quadratic, cubic, square root, cube root, etc.)