Graphing Trig Functions Review

What is the amplitude of

y = -3sin (7x) -2

• 7

• -2

• 3

• -3

What is the period?

• 4π

• 2π

• π

• 8π

What is the vertical shift?

• Down 1

• Down 5

• Down 3

• Down 4

What is the period for y = 4cos(¹/₂x +π) - 2?

• pi/2
• pi
• 3pi
• 4pi

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

• y = 5cos(x - pi) + 3
• y = 3cos(x - pi) + 5
• y = 3cos(2x - pi) + 5
• y = 5cos(2x - pi) + 3

The __________ measures the distance from the midline to the max (top) or min (bottom) of the function.

• Amplitude

• Phase Shift

• Vertical Translation

• Horizantal Translation

An object is attached to a coiled spring. The object is pulled down 9 cm from its rest position and then it is released. It takes 3 seconds for the object to travel from its lowest position to its highest position. Write an equation to model how the distance of the object from its rest position (in cm)  changes with time (in seconds).

What is another name for a phase shift?

• Horizontal Dilation

• Horizontal Shift/Translation

• Vertical Dilation

• Vertical Shift/Translation

11.  What is the equation of graph? 

• y = sin 5x
• y =  cos 5x
• y = 5 sin x
• y = 5 cos x