M4 - Key Features of Trig function (sin/cos)

5.  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

Tags

CCSS.HSF-IF.C.7E

6.  What is the vertical shift for y = 4cos(¹/₂x +π) - 2?

• up 2
• left 2
• right 2
• down 2

Tags

CCSS.HSF-IF.C.7E

7.  What is the phase shift for y = 4cos(¹/₂x +π) - 2?

• left pi/2
• right pi/2
• right 2pi
• left 2pi

Tags

CCSS.HSF-IF.C.7E

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

• pi/2
• pi
• 3pi
• 4pi

Tags

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

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

• 2
• pi/2
• pi
• 4

Tags

CCSS.HSF-IF.C.7E

10.  What is the equation of the graph?

•  y = 2 cos x
• y = sin x
• y = 2 sin x
• y = sin 2x 

Tags

CCSS.HSF-IF.C.7E

11.  What is the equation of graph? 

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

Tags

CCSS.HSF-IF.C.7E

12.  What is the vertical shift? 

• Down 1
• Down 5
• Down 3
• Down 4

Tags

CCSS.HSF-IF.C.7E

15.  What is the amplitude and period of the function: y= 2/5sin9x

• Amplitude: 2/5 Period: 2π/9
• Amplitude: 2/5 Period: π/6
• Amplitude: 5/2 Period: 2π/9
• Amplitude: 5/2 Period: π/6

Tags

CCSS.HSF-IF.C.7E

The __________ measure the distance from the midline to the max or min of the function.

• Amplitude

• Phase Shift

• Vertical Translation

• Horizantal Translation

Tags

CCSS.HSF-IF.C.7E