Trig Waves

Which value helps identify a horizontal shift in the following function y=a*sin(b(x-c))+d?

• a

• b

• c

• d

Which value helps identify a vertical shift in the following function y=a*sin(b(x-c))+d?

• a

• b

• c

• d

What is the amplitude of y = 3 cos 2x?

• 3
• 2
• 90
  90⁰
• 350⁰

Which of these equations has an amplitude of 6?

• y=6sinx

• y= -1 + sin6x

• y=sin(x/6)

• y=6 + sinx

What is the period of y = 4Cos(2x)?

• 4π
• π
• 2π
• π/2

The amplitude of y = -8sin(3x)+5...

• 5

• 3

• -8

• 8

Write the equation for a sine function with an amplitude of 6 and a period of  $\frac{\pi}{4}$ .

•  $y=6\sin8\theta$ 

• Don't pick this one

•  $y=6\sin\ \frac{1}{4}\theta$

•  $y=6\sin\theta$ 

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 = 3cos2(x - pi) + 5

• y = 5cos(2x - pi) + 3

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

• up 2
• left 2
• right 2
• down 2

8.  What is the period for y = 4cos¹/₂(x +π) - 2?

• pi/2

• pi

• 3pi

• 4pi