Trig Graphs - all

Front

What is the equation of the graph for a vertical stretch of 5 for cosine?

Back

y = 5 cos x

Front

What is the period length of the function y = tan x?

Back

π

Front

Which function starts at the origin: y = sin x or y = cos x?

Back

y = sin x

Front

What is the equation of the graph shown for a horizontal stretch of 2 for tangent?

Back

y = tan(\frac{1}{2}x)

Front

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

Back

\frac{\pi}{2}

Front

What is the general form of the sine function?

Back

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

Front

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

Back

3

Front

How do you find the period of the function y = cos(4x)?

Back

Period = \frac{2\pi}{B} = \frac{2\pi}{4} = \frac{\pi}{2}.

Front

What is the phase shift of the function y = sin(x - \frac{\pi}{3})?

Back

\frac{\pi}{3} to the right.

Front

What is the vertical shift of the function y = cos x + 2?

Back

2 units up.