# Explainers [101–200 of 287 explainers]

- Slope and Rate of Change
- Graphing Quadratic Functions
- Graphing Cubic Functions
- Graphs of Polynomial Functions
- Graphs of Rational Functions
- Adding and Subtracting Rational Functions
- Applications of Exponential Functions
- Inverse of a Function
- Solving Quadratic Equations Graphically
- Composite Functions
- Function Transformations: Translations
- Simplifying Rational Functions
- Linear and Nonlinear Functions
- Domain and Range of a Rational Function
- Factorials
- Fundamental Counting Principle
- Properties of Permutations
- Counting Using Permutations
- Properties of Combinations
- Counting Using Combinations
- The Binomial Theorem
- Counting Outcomes with Restrictions
- Counting with Repetition Where Order Does Not Matter
- General Term in the Binomial Theorem
- Pascal’s Triangle
- Pascal’s Triangle and the Binomial Theorem
- Introduction to Complex Numbers
- Pure Imaginary Numbers
- Equating, Adding, and Subtracting Complex Numbers
- Multiplying Complex Numbers
- Dividing Complex Numbers
- Complex Number Conjugates
- Real and Complex Roots of Polynomials
- Solving Quadratic Equation with Complex Roots
- Quadratic Equations with Complex Coefficients
- Modulus of a Complex Number
- The Argument of a Complex Number
- Argand Diagram
- Polar Form of Complex Numbers
- Operations on Complex Numbers in Polar Form
- Exponential Form of a Complex Number
- De Moivre’s Theorem
- De Moivre’s Theorem for Trigonometric Identities
- The 𝑛th Roots of Unity
- Arbitrary Roots of Complex Numbers
- Cube Roots of Unity
- Distance and Midpoints on the Complex Plane
- Loci in the Complex Plane Using the Modulus
- Loci in the Complex Plane Using the Argument
- Transformations of the Complex Plane
- Möbius Transformations
- Euler’s Formula for Trigonometric Identities
- Regions in the Complex Plane
- Arithmetic Sequences
- Using Arithmetic Sequence Formulas
- Geometric Sequences
- Finding the 𝑛th Term of a Geometric Sequence
- Components of a Vector
- Vectors in Terms of Fundamental Unit Vectors
- Magnitude of a 2D Vector
- Vector Operations in 2D
- Dot Product
- Converting and Comparing Length: Customary Units
- Converting and Comparing Capacity: Customary Units
- Converting and Comparing Mass: Customary Units
- Adding and Subtracting Units of Time
- Perimeters of Rectangles and Squares
- Areas of Rectangles and Squares
- Similar Polygons
- Equation of a Circle
- Equation of a Circle Passing through Three Noncollinear Points
- Interior Angles of a Polygon
- Parallel Lines and Transversals: Angle Relationships
- Inequality in One Triangle: Sides
- Medians of Triangles
- Inequality in One Triangle: Angle-Side
- The Pythagorean Theorem
- Applications on the Pythagorean Theorem
- The Converse of the Pythagorean Theorem
- Angle Bisector Theorem and Its Converse
- Distance on the Coordinate Plane: Horizontal and Vertical
- Calculating the Slope of a Line given Two Points
- Determining the Slope of a Line from a Graph, a Table, or Coordinates
- Equation of a Straight Line: Slope-Intercept Form
- Equation of a Straight Line: General Form
- Equation of a Hyperbola
- Properties of Three-Dimensional Shapes
- Volumes of Rectangular Prisms and Cubes
- Volumes of Cylinders
- Volumes of Pyramids
- Volumes of Cones
- Volumes of Composite Solids
- Surface Areas of Rectangular Prism and Cubes
- Surface Areas of Prisms
- Surface Areas of Cylinders
- Surface Areas of Pyramids
- Surface Areas of Spheres
- Similarity of Solids
- Bar Graphs
- Double Bar Graphs