Graphs of Trig Functions

What is the phase shift?

y=3cos(2x - π) + 1

• up 1

• right π

• right 1/2π

• There is no phase shift

What is the amplitude? 

• 1
• 2
• 3
• 4

Tags

CCSS.HSF-IF.C.7E

what is the period of y= -3sinx

• π
• 2π
• 3π
• 4π

Tags

CCSS.HSF.TF.A.4

What is the range for y = -4 cos 3(x + π) - 5

• All real numbers
• [-9, -1]
• [-1, -9]
• (-∞, -9] ∪ [-1, ∞)

what is the amplitude of y=3sin(7x)-2

• 7
• -2
• 3
• 6

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

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

• f(x) = 2 sin πx
• f(x) = 2 sin 2πx
• f(x) = 0.5 sin πx
• f(x) = 0.5 sin (π/2)x

The period of a sine or cosine graph can be found by ....

• It's always 2π
• 2π/B
• B(2π)
• 2π+B

Tags

CCSS.HSF.TF.A.4

Write the equation for a sine function with an amplitude of 6 and a period of π/4.

• y=6sin(8x)
• y=6sin8(x-1)
• y=6sin1/4x
• y=6sinx

What is the midline for
y=2cos(1/3x +π/6) +2

• y=1/3
• y=-2
• y=2
• y=4