Tangent Equations and Graphs

Which function below matches this graph?

• tan(x-π/4)

• tan(x+π/4)

• cot(x)

• π/4cot(x)

What is the equation of the graph shown?

What is vertical shift of this graph?

• Down 2

• Down 1

• No shift

• Up 1

• Up 2

What is the period of the function y=tan³/₄θ

• 3π/4

• 8π/3

• 4π/3

• 2π/3

What is the period of y=4tanx

• π/5

• π

• 5

• 5π

• 2π/5

What is the period of y=4tan5x

• π/5

• π

• 5

• 5π

• 2π/5

Select the tangent graph.

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• 
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What is the period of the equation:

y = -3tan(x - π)+1

• 2π

• 3

• π

• 1

What trigonometric functions have vertical asymptotes?

• sine

• cosine

• tangent

• none listed here

In the standard (x,y) coordinate plane, a particular circle has center (9, 4) and is tangent to the y-axis. The point (x, y) lies on the circle if and only if x and y satisfy which of the equations below?

• (x + 9)² + (y + 4)² = 81

• (x + 9)² + (y + 4)² = 16

• (x + 9)² + (y + 4)² = 9

• (x - 9)² + (y - 4)² = 81

• (x - 9)² + (y - 4)² = 16