Algebra 2 Semester 1 Exam Formulas

Study Notes

Quadratic Functions

Standard Form: A quadratic equation is expressed as f(x) = ax² + bx + c, where a, b, and c are constants.
Vertex Calculation: The x-coordinate of the vertex for a parabola can be found using the formula x = -b/(2a).

Quadratic Function Forms

Vertex Form: A quadratic function can also be written in vertex form as f(x) = a(x-h)² + k, where (h, k) represents the vertex.
Quadratic Formula: Roots of a quadratic equation can be calculated using the formula x = [-b ± √(b²-4ac)]/(2a).

Polynomial Factorization

Sum of Cubes: The expression a³ + b³ can be factored to (a + b)(a² - ab + b²).
Difference of Cubes: The expression a³ - b³ factors to (a - b)(a² + ab + b²).
Difference of Squares: The expression a² - b² factors to (a + b)(a - b).

Linear Equations

Slope Definition: The slope of a line is calculated using the formula (y₂ - y₁)/(x₂ - x₁), representing the change in y over the change in x.
Slope-Intercept Form: A linear equation can be represented as y = mx + b, where m is the slope and b is the y-intercept.
Point-Slope Form: A linear equation can be expressed as y - y₁ = m(x - x₁), allowing for point-based graphing with a given point (x₁, y₁).

Description

This quiz features flashcards covering essential formulas for Algebra 2, Semester 1. You'll learn about quadratic equations, vertex forms, the quadratic formula, and more. Use these flashcards to prepare effectively for your exam.