High School Math

High School Math covers essential mathematical concepts and skills necessary for success in high school and beyond.

Algebraic FoundationsGeometry and MeasurementFunctions and Graphs
Quadratic EquationsTrigonometryStatistics and Probability
Budgeting and Personal FinanceMath in SportsMath in Technology
Effective Problem SolvingTest-Taking Tips
Algebraic Foundation...Geometry and Measure...Functions and GraphsQuadratic EquationsTrigonometryStatistics and Proba...Budgeting and Person...Math in SportsMath in TechnologyEffective Problem So...Test-Taking Tips
Basic Concepts

Functions and Graphs

Understanding Functions

A function is a special relationship between input and output values. Each input has exactly one output. Functions are often written as \( f(x) \).

Graphing Basics

Functions can be visualized using graphs on the coordinate plane. The graph shows how the output changes with the input.

  • Linear Functions: \( y = mx + b \), straight lines.
  • Quadratic Functions: \( y = ax^2 + bx + c \), parabolas.

Why Use Graphs?

Graphs make it easier to spot trends, compare data, and make predictions. They're powerful tools for understanding relationships.

Real-Life Uses

  • Tracking your grades over time.
  • Predicting profits or expenses for a business.
  • Analyzing speed and distance in physics.

Examples

  • Plotting \( y = 2x + 1 \) gives a straight line with slope 2.

  • The function \( y = x^2 \) creates a U-shaped parabola on a graph.

In a Nutshell

Functions show how one quantity depends on another, and graphs help visualize these relationships.

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Quadratic Equations