Trigonometry Unit Part 3 Graphing Functions

Sine

Function with domain of all real numbers and range between -1 and 1.

Cosine

Function with domain of all real numbers and range between -1 and 1.

Tangent

Function with domain of all real numbers except odd multiples.

Cosecant

Function with domain of all real numbers except integral multiples.

Secant

Function with domain of all real numbers except odd multiples.

Cotangent

Function with domain of all real numbers except integral multiples.

Amplitude

Maximum distance of a function from its midline.

Period

Distance for a function to complete one full cycle.

Unit

Space between critical points on a graph.

Phase Shift

Horizontal shift of a function's graph.

Vertical Shift

Vertical shift of a function's graph.

Parent Graph

Base graph used as a reference for transformations.

Reflection

Change in orientation over the x-axis for negative values.

Critical Points

Points of relative maxima, minima, or inflection on a graph.

Domain

Set of all possible input values of a function

Range

Set of all possible output values of a function

y = sin (4x)

Sine function with a frequency of 4

f (x) = 4 sin (2x)

Sine function with amplitude 4 and frequency of 2

y = 2 sin (3x)

Sine function with amplitude 2 and frequency of 3

f(x) = -2 cos

Cosine function with amplitude 2 and negative

y = cos - 1

An incomplete expression, possibly referring to an inverse cosine function

Vertical Asym

Vertical asymptote of a function

V. St/Sh

Vertical shift or stretch of a function

VA

Vertical asymptote of a function

x = Asy + Tk

Formula to determine the vertical asymptote of a function

Tangent Curve

Graph of the tangent function

Family

Group of functions with similar characteristics

Equation1

First equation of the graph

Equation 2

Second equation of the graph

Transformation

Controls each movement in a graph

Center Line

Line representing the average of the function

Algebra 2 Trig

A course that combines algebra and trigonometry concepts

Graphing Trig Functions Review

Activity to plot trigonometric functions on a graph

Block

Class section identifier for organizing students

Quiz #3

Assessment evaluating understanding of trigonometry concepts

Vertical St/Sh

Combination of vertical shift and phase shift in a graph