Precalc HW 6.1-6.2

Determine the phase shift of the following function
f(x)=cos(-2x+π∕ 6)+4

• Phase shift: π∕ 12
• Phase shift: π∕ 6
• Phase shift: π∕ 3
• Phase shift: 2π∕ 3

Determine the Period of the following function:
f(x)=2sin(4x+π∕ 3)-1

• Period: π∕ 2
• Period: π∕ 4
• Period: π∕ 3
• Period: 2π∕ 3

Determine the Range of the following function
f(x)=-3cos(x+5π∕ 3)-2

• Range (-5,1)
• Range (-1,5)
• Range(1,5)
• Range (1,-5)

Determine the equation of the symmetry axis of the following function:
f(x)=-sin(2x+1)-5

• y=-5
• y=-1
• y=5
• y=1

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

• 7
• -2
• 3
• 6

Tags

CCSS.HSF-IF.C.7E

what is the period of y= -3sinx/2

• π
• 2π
• 3π
• 4π

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

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

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

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