Test 3 Topics
Chapter 5 and Chapter 8

Section 5.1: Vertical and Horizontal Shifts

• Vertical and horizontal shifts

• Finding formula for shifted graph in terms of original graph

Section 5.2: Reflections and symmetry

• Reflections across x and y-axis

• Symmetry

• Even and odd functions

Section 5.3: Vertical Stretches and Compressions

• The effect of multiplying a function by a constant

Section 5.4: Horizontal Stretches and Compressions

• The effect of multiplying an input variable by a constant

Section 5.5: The Family of Quadratic Functions

• The general formula for quadratic functions

• Completing the square

Review Problems

•  pg. 231 - 3, 5, 7, 9, 11, 13, 15, 17, 21

Section 8.1 : Composition of Functions

• Find composition of 2 functions algebraically, graphically, numerically

• Interpreting composition of 2 functions

• Decomposing a function

Section 8.2: Inverse Functions

• Which functions have inverses that are also functions

• Notation, graphs, properties and finding formulas for inverse functions

• Using algebra to find the inverse of a function

• The relationship between the domain and range for a function and its inverse

Section 8.3: Combinations of Functions

• Creating and interpreting new functions by arithmetically combining given functions

Review Problems

• 1-15 odd, 16, 23, 25, 33, 35