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Algebra 2

Algebra 2

Mario's Math Tutoring via YouTube Direct link

Completing the Square

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Completing the Square

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Classroom Contents

Algebra 2

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

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