Graphing Sine and Cosine Trig Functions

Front

What is another name for a phase shift?

Back

Horizontal Shift/Translation

Front

What is the equation of the graph for y = 5 cos x?

Back

y = 5 cos x

Front

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

Back

y = 3cos(x - pi) + 5

Front

What is the equation of the graph for y = -2 cos x - 3?

Back

y = -2 cos x - 3

Front

What is the equation of the graph shown for y = -2sin2θ + 1?

Back

y = -2sin2θ + 1

Front

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

Back

3

Front

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

Back

π

Front

What does a vertical shift of +3 do to the graph of y = sin(x)?

Back

It moves the graph up by 3 units.

Front

What is the effect of a negative sign in front of the cosine function, such as in y = -cos(x)?

Back

It reflects the graph across the x-axis.

Front

What is the general form of a sine function?

Back

y = A sin(B(x - C)) + D, where A is amplitude, B affects period, C is phase shift, and D is vertical shift.