Graphing Trig Functions Practiice Flashcard

Front

What is the normal period of a sine or cosine function if no dilations exist?

Back

2π

Front

Which equation represents a cosine function with a vertical shift downwards?

Back

y = 4 cos x - 1

Front

What is the term for the vertical stretch of the graph, defined as the distance between the midline and the maximum or minimum?

Back

Amplitude

Front

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

Back

y = 2 sin x

Front

What is the period of the function y = 4cos(1/2 x + π) - 2?

Back

4π

Front

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

Back

3

Front

How does a horizontal dilation affect the period of a sine or cosine function?

Back

It stretches or compresses the graph horizontally, changing the period.

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

What is the phase shift of the function y = sin(x - π/4)?

Back

π/4 to the right.

Front

What is the midline of the function y = 2 sin x + 3?

Back

y = 3