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Transformation of trigonometric functions

Solve problems that involve compound interest in financial decision making

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Finance: Compound interest

Finance: Compound Interest

Continuous growth and decay

Finance: Future value and present value

Analyse costs and benefits of renting, leasing and buying

Infinite geometric series

Analyse puzzles and games that involve numerical and logical reasoning using problem-solving strategies

Function notation (advanced)

Solve problems that involve the application of set theory

Set notation

Understanding How to Use Set Notation

Set builder notation

Intersection and union of 2 sets

Intersection and Union of 2 Sets

Intersection and union of 3 sets

Intersection and Union of 3 Sets

Solve problems that involve conditional statements

Operations with functions

Interpret and assess the validity of odds and probability statements

Introduction to probability

Identify the Probability — Word Problem

Compound Probability

Reading Probability Models

Probability

Organizing outcomes

Calculating Outcomes

Comparing experimental and theoretical probability

comparing experimental and theoretical probability

Solve problems that involve the probability of mutually exclusive and non-mutually exclusive events

Addition rule for 

Addition Rule for "OR"

Addition rule for "OR"

Multiplication rule for 

Multiplication rule for "AND"

Multiplication Rule for "AND"

Probability involving permutations and combinations

Solve problems that involve the probability of two events

Probability of independent events

Conditional probability

Law of total probability

Law of Total Probability

Probability of a randomly selected employee meeting a sales target

Probability of a randomly selected driver being involved in an accident

Probability of a randomly selected customer making a purchase

Probability of a randomly selected person being overweight

Bayes' rule

Bayes" Rule

Bayes rule

Bayes" rule

Bayes' Rule

Solve problems that involve the fundamental counting principle

Fundamental counting principle

Fundamental Counting Principle Involving Restrictions

Factorial notation

Path counting problems

Solve problems that involve permutations

Permutations

Permutation vs. Combination

Solve problems that involve combinations

Combinations

Problems involving both permutations and combinations

Pascal's triangle

Pascal's Triangle

Pascal"s Triangle

Pascal"s triangle

Represent data using polynomial functions of degree ≤ 3 to solve problems

Polynomial functions

Recognizing a Polynomial Function

Characteristics of polynomial graphs

Determining the equation of a polynomial function

Applications of polynomial functions

Represent data using exponential and logarithmic functions to solve problems

Graphing exponential functions

Graphing transformations of exponential functions

Finding an exponential function given its graph

Graphing logarithmic functions

Exponential growth and decay by a factor

Finding a logarithmic function given its graph

Represent data using sinusoidal functions to solve problems

Sine graph: y = sin x

Cosine graph: y = cos x

Tangent graph: y = tan x

Cotangent graph: y = cot x

Secant graph: y = sec x

Cosecant graph: y = csc x

Graphing transformations of trigonometric functions

Determining trigonometric functions given their graphs

Ferris wheel trig problems

Foundations of Mathematics 12 (MAT621A)

Financial Mathematics

Logical Reasoning

Mathematical Research Project

Relations and Functions

math

Ex. 1:

Ex. 2:

After learning all the graphs of basic trigonometric functions, in this lesson, we are going to go a little bit further on how the graphs will be transformed as the functions change. The general form for the equation of trig functions is y = <i>f</i> [B(x + c)] + D, where <i>f</i> refers the trig function; A refers to the amplitude/steepness; B represents the period of the graph; C refers to phase shift (left or right) and D represents vertical shift (up or down).  We will learn how to graph the trig function for multiple periods; state the vertical displacement, phase shift, period and amplitude; and also find the domain and range of the transformed functions. 

Combining transformations of functions