Graphing Trig Functions

Front

What is the phase shift for the function y = 4cos(1/2x + π)?

Back

The phase shift is left 2π.

Front

Which equation matches the graph of a cotangent function shifted left?

Back

The equation is cot(x + π/2).

Front

What is the equation for the tangent function that has no transformations?

Back

The equation is tan x.

Front

Identify the equation for the cosecant function based on its graph.

Back

The equation is y = csc(x).

Front

What is the vertical shift for the function y = 4cos(1/2x + π)?

Back

The vertical shift is down 2.

Front

Define phase shift in trigonometric functions.

Back

Phase shift refers to the horizontal shift left or right for periodic functions.

Front

What is the general form of a cosine function?

Back

The general form is y = A cos(B(x - C)) + D.

Front

Explain the significance of the amplitude in trigonometric functions.

Back

Amplitude is the height from the midline to the peak of the wave.

Front

What does the variable 'B' represent in the function y = A sin(B(x - C)) + D?

Back

The variable 'B' affects the period of the function.

Front

How do you determine the period of a sine or cosine function?

Back

The period is calculated as 2π/|B|.