Sin/Cos/Csc/Sec Trig Graphs

Front

What is the period of the function y=5cos(1/2x)?

Back

4π

Front

What is the amplitude of the function y=-3csc(x) +1?

Back

none

Front

What is the amplitude of the function y=-6sin2x?

Back

6

Front

Describe the transformations of the function y=sin(x-π)-4 from its parent function.

Back

Right π; Down 4

Front

What is the general formula for the period of a sine or cosine function?

Back

Period = 2π/|b|, where b is the coefficient of x.

Front

What is the amplitude of a sine or cosine function?

Back

The amplitude is the maximum distance from the midline to the peak or trough.

Front

How does a negative coefficient affect the graph of a sine or cosine function?

Back

It reflects the graph across the x-axis.

Front

What is the effect of adding a constant outside the function (e.g., y=sin(x)+k)?

Back

It shifts the graph vertically by k units.

Front

What is the effect of subtracting a constant from x in the function (e.g., y=sin(x-h))?

Back

It shifts the graph horizontally to the right by h units.

Front

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

Back

[-3, 3]