Algebra 1 EOC Review Flashcards

Flashcards for Algebra 1 EOC Review, covering functions, transformations, and relationships.

Vertical Shift Up

Adding a constant to a function: f(x) + k

Vertical Shift Down

Subtracting a constant from a function: f(x) - k

Horizontal Shift Left

Adding a constant to the x-values of a function: f(x + k)

Horizontal Shift Right

Subtracting a constant from the x-values of a function: f(x - k)

Vertical Dilation

Multiplying a function by a constant: kf(x)

Horizontal Dilation

Multiplying the x-values by a constant: f(kx)

Even Function Examples

f(x) = 2x² - 6

Odd Function Examples

f(x) = 3x3, f(x) = 2x

Domain

x-values, Input, Independent Variable

Range

y-values, Output, Dependent Variable, f(x)

Function

A relation where one input should never give 2 different outputs (no repeating x-values)

Rate of Change

Slope between two points

Growth

y = 1.03x, 1.03 > 1

Decay

y = 0.97x, 0.97 < 1

Linear Relationship

Earning $150 each week, The cost of ordering x number of items

Exponential Relationship

Earning 4% interest annually on an amount invested, a quantity tripling in value each week, Bacteria growth

Linear

Same number added each time to y

Exponential

Same number multiplied by y each time