Piece-wise and Quadratic Functions
by Joshua Flores
1. Piece-wise
1.1. Forms
1.1.1. Translations, reflections, vertical shrinks
1.1.2. h(x) = {2 if x<=1, | x if x>1
1.2. A function with multiple other functions
1.2.1. Continuous breaks in graph
1.2.2. At least 2 equations
1.3. Lots of diversity
1.3.1. The "Pieces" may be all linear, or a combination of forms like, (constant, linear, quadratic, cubic, square root, cube root, etc.)
2. Quadratic Functions
2.1. Forms
2.1.1. y=x^2
2.1.2. Stadard form: y=ax^2+b+c
2.2. Can be solved with or without a calculator
2.2.1. solving for x
2.2.2. X is unknown
2.2.3. 1 term is squared
2.3. Can be graphed
2.3.1. Always 2 solutions
2.3.2. real or imaginary
2.3.3. Always have a curve