Graphs of Sine & Cosine

Front

What is the vertical shift for y = 4cos(0.5x + pi) - 2?

Back

down 2

Front

What is the equation of the graph that has an amplitude of 2?

Back

y = 2 sin x

Front

How do you find the period of a sine or cosine graph?

Back

The period is found using the formula 2π/B.

Front

What effect does a negative A value have on a sine or cosine graph?

Back

It causes a reflection across the X axis.

Front

What is the equation of the graph that has an amplitude of -2 and a vertical shift of -3?

Back

y = -2 cos x - 3

Front

What is the amplitude of the function y = 3 sin(x)?

Back

The amplitude is 3.

Front

What is the period of the function y = sin(2x)?

Back

The period is π.

Front

What does a positive vertical shift do to the graph of y = sin(x)?

Back

It moves the graph upward.

Front

What is the phase shift of the function y = sin(x - π/2)?

Back

The phase shift is π/2 to the right.

Front

What is the equation of the graph with a vertical shift of 2 and an amplitude of 1?

Back

y = sin(x) + 2