2. Functions and Graphs

Recognizing Graphs of Common Functions

Transformations of Functions

Graphing a Parabola

Vertical Stretch or Compression of the Graph of a Function

Graphing a Tangent Function - EX 1

Graphing Using Graph Transformations - Example 2.

Transforming Algebraic Functions: Shifting, Stretching, and Reflecting

Vertically translate quadratic equations

Graph square root functions using transformations

Format for Horizontal Shifts of Graphs of Functions

Understand horizontal scaling of quadratic equations

Graphing Quadratic Functions - Example 1

Format for Reflection of Function Graphs Across the y-Axis

Application of quadratic function transformations

Format for Reflection of Function Graphs Across the x-Axis

Graphing a Cotangent Function, EX 1

Graphing a Cosine Function  EX 4

Horizontal And Vertical Graph Stretches and Compressions Part 2 of 3

Horizontal Stretch or Compression of the Graph of a Function

Graph of y = e ^ (x + 3) using Graph Transformations

Graphing the Greatest Integer or Floor Function

Vertical Shift of a Graph

Graph cube root functions

Graphing a Cotangent Function, EX 2

Graphing a Tangent Function - EX 2

Graphing a Cosine Function  EX 3

Graphing Exponential Functions w/ Graph Transformations

Understand vertical scaling of quadratic equations

Graphing a Sine Function  EX 2

Apply vertical scaling transformations to linear equations

Format for Vertical Shifts of Graphs of Functions

Reflect points over the x and y axes

Graphing Trigonometric Functions - Graph Transformations P1

Graphing a Sine Function  EX 4

Review of the Graphs of Some Common Functions

Graphing f(x) = (1/x) + 5 ; Rational Functions and Graph Transformation

Horizontal Shift of a Graph

Horizontal and Vertical Graph Transformations

Graph absolute value functions

Graphing Exponential Functions

Applying Combinations of Transformations

Combined Shifting of a Function

Reflect linear equations

Trigonometric Functions and Graphing: Amplitude, Period, Vertical and Horizontal Shifts, Ex 2

M8: Reflection Across the y-Axis

Graphing  y = 30sin(pi/10)t  + 35

Reflection Across the x-Axis

Graphing a Cosecant Function , EX 2

Format for the Vertical Stretch or Compression of the Graphs of Functions

Graphs to Know for Your Algebra Class

Graphing a Secant Function, EX 1

Graphing a Rational Function - Example 1

Finding Amplitude, Period, Horizontal and Vertical Shifts of a Trig Function EX 1

Write an Equation From a Description of Transformations

Perform Transformations on a Given Graph

Graphing Sine and Cosine with Phase (Horizontal) Shifts, Example 2

Graphing a Cosecant Function , EX 1

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1. Fundamental Concepts of Algebra

3. Polynomial and Rational Functions

4. Exponential and Logarithmic Functions

5. Trigonometric Functions

6. Analytic Trigonometry

7. Additional Topics in Trigonometry

8. Systems of Equations and Inequalities

9. Matrices and Determinants

10. Conic Sections and Analytic Geometry

11. Sequences, Induction, and Probability

12. Introduction to Calculus

Verify Inverse Functions

Find the Inverse of a Function

Determine if a Function Has an Inverse Function (Using Horizontal Line)

Graph Inverse Function (use one-to-One Function graph)

Find the Inverse of a Function and Graph Both Functions 

Inverse Functions

Identify Intervals on Which a Function Increases, Decreases, or Is Constant

Use Graphs to Locate Relative Maxima or Minima

Test for Symmetry

Identifying Even or Odd Functions and Recognize Their Symmetries

Understand and Use Piecewise Functions

Find and Simplify a Function's Different Quotient

More on Functions and Their Graphs

Plotting Points in the Rectangular Coordinate System

Graphing an Equation Using the Point-Plotting Method

Understanding the Viewing Rectangle

Identifying Intercepts

Interpret Information Given by Graphs

Graphs and Graphing Utilities

Construct Functions from Formulas

Construct Functions from Verbal Descriptions

Modeling with Functions

Calculate a Line's Slope

Write the Point-Slope Form of the Equation of a Line

Write and Graph the Slope-Intercept Form of the Equation of a Line

Graph Horizontal and Vertical Lines

Recognize and Use the General Form of a Line's Equation

Use Intercepts to Graph the General Form of a Line's Equation

Model Data with Linear Functions and Make Predictions

Linear Functions and Slope

Find the Domain and Range of a Relation

Determine Whether a Relation is a Function

Determine Whether an Equation Represents a Function

Evaluate a Function

Graph Functions by Plotting Points

Use the Vertical Line Test to Identify Functions

Obtain Information About a Function From Its Graph

Identifying the Domain and Range of a Function From Its Graph

Identify Intercepts from a Function's Graph

Basics of Functions and Their Graphs

Find the Distance Between Two Points

Find the Midpoint of a Line Segment

 Standard Form of a Circle's Equation

Center and Radius of a Circle Whose Equation Is in Standard Form

Convert the General Form of a Circle's Equation to Standard Form

Distance and Midpoint Formulas, Circles

Use Vertical Shifts to Graph Functions

Use Horizontal Shifts to Graph Functions

Use Reflections to Graph Functions

Use Vertical Stretching and Shrinking to Graph Functions

Use Horizontal Stretching and Shrinking to Graph Functions

Graph Functions Involving a Sequence of Transformations

Find the Domain of a Function

Combine Functions Using the Algebra of Function

Form Composite Functions

Determine Domains for Composite Functions

Write Functions as Compositions

Combinations of Functions, Composite Functions

Find Slopes and Equations of Parallel and Perpendicular Lines

Interpret Slope as Rate of Change

Find a Function's Average Rate of Change

More on Slope

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Study topics incliding trogonometric functions, identities and equations, solutions of triangles, complex numbers, and other topics as time permits

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