Quadratic and Exponential Functions

A set of flashcards covering key definitions and formulas related to quadratic and exponential functions.

Standard Form of Quadratic Equation

y = ax² + bx + c

Slope-Intercept Form

y = mx + b

Quadratic Formula

x = -b ± √(b² - 4ac) / 2a

Point-Slope Form

y - y₁ = m(x - x₁)

Exponential Growth Formula

y = a(1 + r)²

Exponential Decay Formula

y = a(1 - r)²

Arithmetic Sequence Explicit Formula

an = a₁ + (n - 1)

Arithmetic Sequence Recursive Formula

an = an₋₁ + d

Geometric Sequence Recursive Formula

an = a₁ · r^(n-1),

Linear Standard Form

Ax + By = C

Vertex Form of Quadratic Function

f(x) = a(x - h)² + k

Slope of a Line

m = (Y₂ - Y₁)/(X₂ - X₁)