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Shifting, Stretching and Reflecting Parent Function Graphs
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Classroom Contents
Algebra 2
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- 1 Tangent Sum and Difference Formulas How to Use
- 2 Solving Polynomial Inequalities Algebraically Using Number Line
- 3 Graphing Absolute Value Functions with Transformations
- 4 How to Find Slant Asymptote of a Rational Function
- 5 Law of Sines (SSA) Ambiguous Case 2 Triangles Possible
- 6 Find Reference Angle in Radians and Degrees (Formulas)
- 7 Adding & Subtracting Rational Expressions Easily
- 8 Finding a Least Common Multiple (With Variables)
- 9 Law of Sines AAS, ASA, SSA Ambiguous Case
- 10 Solving Triangles Using Law of Sines and Law of Cosines
- 11 Find 3 Consecutive Even Integers with a Sum of 72
- 12 Properties of Exponents - Including Negative (Multiple Examples)
- 13 Solving a Quadratic Equation by Completing the Square
- 14 Is a Function Even, Odd, or Neither?
- 15 Find Zeros of Polynomial Using Calculator & Synthetic Division
- 16 Special Right Triangles 30-60-90 & 45-45-90 (3 Easy Methods Explained)
- 17 Graphing Logarithmic Functions with Transformations
- 18 Graphing Polynomial Functions Using End Behavior, Zeros, and Multiplicities
- 19 Testing for Symmetry Versus Even or Odd (PreCalculus)
- 20 Decomposing Functions h(x) = f(g(x))
- 21 Write a Quadratic Equation in Standard Form by Completing the Square (3 Examples)
- 22 Factoring Trinomials in Quadratic Form
- 23 Parabola Equation Using Distance Formula
- 24 Outliers - Box and Whisker Plot (1.5 IQR)
- 25 Cramer's Rule Solving a System of Linear Equations 2x2
- 26 Substitution Method to Solve a System of Equations
- 27 Factoring Sum and Difference of Cubes
- 28 Draw an Angle in Radians (Standard Position)
- 29 Graphing Absolute Value Functions (y=a|x-h|+k)
- 30 Solving Exponential Equations
- 31 Discriminant of a Quadratic Equation - Determine Number and Type of Solutions
- 32 Converting a Quadratic Function From Standard Form to Vertex Form (Completing the Square)
- 33 Line of Best Fit By Hand & Using Linear Regression Ti84
- 34 Write Recursive Formulas for Sequences (2 Methods)
- 35 Completing the Square to Solve a Quadratic Equation (3 Examples)
- 36 Graphing Rational Functions Step-by-Step (Complete Guide 3 Examples)
- 37 Solve an Exponential Equation by Getting Bases to be Equal
- 38 Find Horizontal Asymptote of a Rational Function
- 39 How to Graph Quadratic Functions (Standard Form, Vertex Form & Intercept Form)
- 40 Sequences and Series Introduction
- 41 Solving Trigonometric Equations - How to Write General Solution
- 42 Law of Sines and Law of Cosines (4 Examples)
- 43 Radicals Complete Review - Simplifying, Rationalizing, Equations, Adding & Subtracting
- 44 Evaluating Inverse Trigonometric Functions (arcsin, arccos, arctan) Using Unit Circle
- 45 Verifying Trigonometric Identities Easily - Strategy Explained (14 Examples)
- 46 Graphing Sine and Cosine Functions with Transformations (Multiple Examples)
- 47 Solving Exponential and Logarithmic Equations (Multiple Examples)
- 48 Combined Variation
- 49 Solving Quadratic Systems (Substitution & Elimination)
- 50 Radians Intro (What are they? Converting Units, Draw Standard Position)
- 51 Graphing Sine, Cosine, Cosecant, Secant, Tangent & Cotangent (Complete Guide)
- 52 Factoring Polynomials Completely - All Types (100 Problems & Free Worksheet)
- 53 Sketching Rational Functions Step by Step (6 Examples!)
- 54 Synthetic Division and P(x)=D(x)Q(x) + r
- 55 Evaluating Composition of Functions From Graphs
- 56 Equation of Parabola Given 3 Points (System of Equations)
- 57 Solving a System 3 Equations (General Solution)
- 58 Elimination 3 Variables (Multiple Examples)
- 59 Elimination 3 Variables 3 Equations
- 60 Performing Operations on Radicals
- 61 Solving Trigonometric Equations Multiple Angles
- 62 Simplifying Complex Fractions (2 Methods)
- 63 Synthetic Substitution
- 64 Circle Inequalities (Graphing & Writing)
- 65 Sequences and Series (Arithmetic & Geometric) Quick Review
- 66 Composition of Functions (Examples)
- 67 Transformations of Parent Graphs (Advanced)
- 68 Verifying Functions are Inverses
- 69 Probability Defective Units Example
- 70 Vertex Form for Quadratic Functions (by Completing the Square)
- 71 Absolute Value Function (How to Graph)
- 72 Inverse Functions (Complete Guide)
- 73 Rational Expressions Adding and Subtracting
- 74 Rationalize Cube Roots in the Denominator
- 75 Descartes Rule of Signs to Determine Number of Positive & Negative Zeros
- 76 Dividing Polynomials Using Long Division
- 77 Distinguishable Permutations of Letters in a Word
- 78 Arithmetic Sequence (Explicit Formula)
- 79 Geometric Sequence (Explicit Formula)
- 80 Draw an Angle in Standard Position (Radians & Degrees)
- 81 Permutations Combinations Factorials & Probability
- 82 Factorial Expressions (Simplifying)
- 83 Binomial Expansion Find a Specific Term
- 84 Binomial Expansion Finding Coefficient
- 85 Algebra 2 Final Exam Review
- 86 Graphing Sine and Cosine Functions (More Challenging Examples)
- 87 Algebra 2 Midterm Exam Review
- 88 Greatest Integer Function How to Graph
- 89 Evaluate the Six Trigonometric Functions of the Angle
- 90 End Behavior of Polynomial Functions Using Leading Coefficient Test
- 91 Rational Expressions Multiplying and Dividing
- 92 Parent Function Graphs Transformations (Shift, Stretch, Reflect)
- 93 Radicals How to Simplify Square Roots (& Cube Roots)
- 94 Graphing Quadratic Equations Easily (All Types)
- 95 How to Graph Tan (Tangent) - More Challenging
- 96 Classify Polynomials by Degree & Number of Terms
- 97 Condensing Logarithms into a Single Log (More Challenging Examples)
- 98 Expanding Logarithmic Expressions (More Challenging Examples)
- 99 Sine or Cosine Writing Equations Given Graph
- 100 Is a Function Periodic?
- 101 Write Equation of a Parabola Given Vertex and Directrix
- 102 Equation of Parabola Given Focus and Directrix
- 103 Equation of Ellipse Given Vertices and Foci
- 104 Ellipse Equation Given Eccentricity and Foci
- 105 Ellipse Equation Given Vertices and Eccentricity
- 106 Hyperbola Equation Given Asymptotes and Vertices
- 107 Determine if an Equation is a Hyperbola, Ellipse, Parabola or Circle
- 108 Evaluating Numbers with Rational Exponents Using Radicals
- 109 Solve Quadratic Equations by Finding Square Roots
- 110 Piecewise Functions - How to Evaluate
- 111 What is the Correlation Coefficient r ?
- 112 Row Reduced Echelon Form
- 113 Gaussian Elimination with Back Substitution
- 114 Recursive Formulas How to Write
- 115 Logs Everything You Need to Know
- 116 Writing Logarithms in Exponential Form
- 117 Arithmetic Sequence Formula Given 2 Terms Easy Method
- 118 Quadratic Equation How to Write in Vertex Form (Easier Method)
- 119 Angle of Elevation and Depression Problems
- 120 Linear Programming
- 121 Bearing Math Problems
- 122 Time to Triple Compounding Continuously
- 123 Time to Double Compounding Continuously
- 124 Find Inverse and State Domain Restriction
- 125 Rewriting Powers of i Using Calculator Ti84 (Imaginary Numbers)
- 126 Graphing Exponential Functions with Base e
- 127 Solving Radical Equations (More Challenging)
- 128 Solving Radical Equations
- 129 Convert from Degrees to Degrees, Minutes, Seconds
- 130 Deriving the Quadratic Formula by Completing the Square
- 131 Writing a Polynomial Given Zeros
- 132 Determining if a Function is a Polynomial
- 133 One-to-One Property to Solve Logarithmic Equations
- 134 Rewriting Logs in Exponential Form
- 135 One to One Property for Exponential Equations
- 136 Completing the Square to Solve Quadratic Equations
- 137 Discriminant to Find Number of Solutions
- 138 Finding Zeros of Rational Functions
- 139 Half Life Formula & Example
- 140 Domain of Logarithmic Functions
- 141 Exponent Rules with Examples
- 142 Negative Exponents Simplifying
- 143 Graphing System of Quadratic Inequalities (Example 2)
- 144 Graphing System of Quadratic Inequalities Example 1
- 145 Find Two Positive Real Numbers Whose Product is a Maximum (PreCalculus)
- 146 Completing the Square Leading Coefficient (More Challenging Examples)
- 147 Find the Equation of a Quadratic (Parabola) Given 3 Points
- 148 Inverse Variation or Direct Variation? (Given a Table)
- 149 Powers of i (Simplifying)
- 150 Volume of Open Box Made From Rectangle with Squares Cut Out
- 151 Decomposing Functions Using Composition of Functions
- 152 Shifting, Stretching and Reflecting Parent Function Graphs
- 153 Cramer's Rule Solving Systems of 3 Equations
- 154 Piecewise Functions Graphing
- 155 Interval Notation (What is It?)
- 156 Absolute Value Inequality Special Cases
- 157 Absolute Value Compound Inequality (Challenging)
- 158 Finding a Sinusoidal Equation Given a Maximum and Minimum
- 159 Half Angle Formula Positive or Negative?
- 160 Verifying Trigonometric Identities (Examples)
- 161 What are Imaginary Numbers?
- 162 How to Graph Tangent (Simplified)
- 163 Ellipses Vs. Hyperbolas Similarities and Differences
- 164 Matrices Quick Tip for Rotating and Reflecting
- 165 Which Way Does the Hyperbola Open?
- 166 Finding Equation of Parabola Given Vertex and Directrix
- 167 Finding Equation of Parabola Given Focus and Vertex
- 168 Heron's Area Formula for Triangles
- 169 Master the Unit Circle!
- 170 Factoring Trinomials Leading Coefficient Not 1 by Grouping
- 171 Equation of Hyperbola Given Asymptotes and Foci
- 172 TI84 TI83 Pascal's Triangle Binomial Expansion
- 173 Combined Rate Example (2 People Working Together)
- 174 Finite Differences to Determine the Degree of a Sequence
- 175 Repeating Decimal to Fraction Using Geometric Series(Challenging)
- 176 Bouncing Ball Distance Traveled Example
- 177 Writing Summations in Sigma Notation
- 178 Direct Variation or Inverse Variation?
- 179 Expanding and Condensing Logs (Challenging)
- 180 Solving (Challenging) Log Equations Different Bases
- 181 TI84 TI83 Calculating Standard Deviation
- 182 Using Matrices to Solve Systems of Equations on Ti84 Calculator
- 183 Cramer's Rule Matrices
- 184 Inverse Matrices Solving Systems of Equations
- 185 Inverse of a 2x2 Matrix
- 186 Area of a Triangle Using Determinant
- 187 Determinant of a Matrix - How to Find (2x2 & 3x3)
- 188 How to do Matrix Multiplication
- 189 Matrices - Dimensions, Add, Subtract Scalar Multiplication
- 190 Standard Deviation How to Calculate by Hand (Formula)
- 191 Z Scores and Normal Distributions (Example Problems)
- 192 Probability Examples with Cards
- 193 Writing Conic Sections in Standard Form
- 194 Binomial Probability
- 195 How to Use Permutations and Combinations
- 196 Hyperbolas - How to Graph
- 197 How to Graph Ellipses and Write the Equation
- 198 How to Graph Parabolas and Write the Equation
- 199 Binomial Expansion Theorem
- 200 Simplifying Complex Fractions
- 201 Rational Equations (How to Solve)
- 202 Sum of Infinite Geometric Series
- 203 Sum of a Geometric Series
- 204 Geometric Sequence Formula
- 205 Sum of an Arithmetic Series Formula
- 206 Arithmetic Sequence - Write Equation (Formula)
- 207 Probability vs Odds
- 208 Factoring - How to Factor Different Types
- 209 Trigonometry: How to Solve Right Triangles
- 210 Completing the Square
- 211 How to Rationalize Radicals
- 212 Radicals Simplifying
- 213 TI-84 TI-83 Finding Log Values
- 214 Finding Relative Maximum and Relative Minimum Ti84 Ti83
- 215 Zeros How to Find Ti84 Ti83