Graphing Sine, Cosine, Tangent Review

Front

What is the vertical shift in the function y = 4tan(\frac{1}{2}x + \pi) - 2?

Back

The vertical shift is down 2.

Front

What is the domain and range of y=sin(x)?

Back

Domain: (-∞, ∞), Range: [-1, 1]

Front

What is the equation of the graph that has a vertical shift of -3 and an amplitude of 2?

Back

y = -2 cos x - 3

Front

What is the period of the function y=4tan(\frac{1}{4}x)-2?

Back

The period is 4π.

Front

What is the period of the function y=sin(\frac{3}{4}x)?

Back

The period is \frac{8\pi}{3}.

Front

What is the amplitude of the function y=5sin(x)?

Back

The amplitude is 5.

Front

What is the phase shift of the function y=sin(x - \frac{\pi}{2})?

Back

The phase shift is \frac{\pi}{2} to the right.

Front

What is the vertical stretch of the function y=3cos(x)?

Back

The vertical stretch is 3.

Front

What is the equation of the tangent function with a vertical shift of 1?

Back

y = tan(x) + 1.

Front

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

Back

The range is (-∞, ∞).