Graphing Trig Functions

Front

What is another name for a phase shift?

Back

Horizontal Shift/Translation

Front

Back

+2

Front

Write an equation for the cosine function with amplitude 3, period 2π, phase shift of π, and vertical shift of 5.

Back

Front

Back

left 3π / 4

Front

What is the equation of the graph that has an amplitude of 2 and is a sine function?

Back

y = 2 sin x

Front

Define amplitude in the context of trigonometric functions.

Back

Amplitude is the maximum distance from the midline to the peak (or trough) of the graph.

Front

Back

Front

How does a vertical shift affect the graph of a trigonometric function?

Back

A vertical shift moves the entire graph up or down without changing its shape.

Front

What is the effect of a negative sign in front of a cosine function?

Back

It reflects the graph across the x-axis.

Front

Back