2.1: Quadratic Functions and Models

Objectives:  

• Write quadratic functions in standard form .
• Graph quadratic equations in standard form.  
• Solve applied problems using quadratic equations.

Example 1

Student Example 1

Example 2

Student Example 2

Example 3

Student Example 3

Problem set 2.1 (in class):

#1-8, 19,22, 38, 44,78

1.10: Mathematical Modeling with Variation

Objectives

• Write mathematical models for direct, inverse, and joint variation.

Example 1


Example 2


Example 3


Example 4


Problem Set 1.10
#25-29, 55-58

1.9: Inverse Functions

Objectives:

• Find inverse functions algebraically.
• Find inverse functions graphically.

Example 1


Student Example 1


Example 2


Student Example 2

 
1.9 Problem Set (in class):
# 2-6 even, 19 - 27, 39, 42

1.8: Combinations of Functions

Objectives:

• Combine functions arithmetically.
• Find the composition of two functions.

Example 1

Student example 1

Example 2

Example 3

Example 4

problem set 1.8 (in class)

# 6-12 even, 13-23 odd, 32,33,36,37,45,46,58

1.6/1.7: A Library of Functions & Transformations

Objectives:

• Define and create a library of "parent functions".
• Sketch functions using
• vertical and horizontal shifts
• reflections
• non-rigid transformations (stretches/compressions)

Example 1 & student example 1


Example 2


student example 2


Example 3 & student example 3


Example 4 & student example 4


Example 5 & student example 5



Example 6


Example7


problem sets 1.6/1.7 (in class)

1.6 # 29, 30, 43, 44, 53-60

1.7 # 6, 10, 12, 19-22, 44-46, 51, 52, 54