Graphing Trig Functions Review (sin/cos/tan/cot)

Front

What is the general form of a cosine function with amplitude A, period P, phase shift C, and vertical shift D?

Back

y = D + A * cos(2π/P * (x - C))

Front

What is the amplitude of the function y = 3cos(x - π) + 5?

Back

3

Front

What is the period of the function y = 4Cos(2x)?

Back

π/2

Front

Where does the graph of y = sin(x) begin its first cycle?

Back

(0,0)

Front

What is the range of the function y = 4Cos(2x)?

Back

[-4, 4]

Front

What transformation does the function y = 5 cos(θ + 5π/6) apply to the parent function cos(θ)?

Back

Amplitude is 5, shift left 5π/6 radians.

Front

How do you find the period of the tangent function?

Back

Use the formula π/b.

Front

What is the vertical shift in the function y = 3cos(x - π) + 5?

Back

5

Front

What is the phase shift of the function y = 3cos(x - π)?

Back

π to the right.

Front

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

Back

2 (amplitude is always positive).