Graphing Sin and Cosine Vertical Transformations

What is the amplitude for y = 4cos(0.5x +pi) - 2?

• 2
• pi/2
• pi
• 4

What is the vertical shift for y = 4cos(0.5x +pi) - 2?

• up 2
• left 2
• right 2
• down 2

What is the horizontal shift for y = 4cos(2(x +pi)) - 2?

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

Write an equation for the cosine function with amplitude 3, period 2pi, horizontal 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

What is the amplitude of the function
f(x) = -3cos x   ?

• -3
• 3
• 6
• -6

In the graph shown, what is the value of A if the graph is of the function
f(x) = A sin (Bx) + D

• -2
• 2.5
• 3
• -3.5

In the graph shown, what is the value of B if the graph is of the function
f(x) = A sin (Bx) + D

• 1
• 2
• 3
• -1

In the graph shown, what is the value of D if the graph is of the function
f(x) = A sin (Bx) + D

• 1
• 0.5
• -0.5
• -2

Which of
A sin B(x – C) + D
affects the period?

• A
• B
• C
• D

What does C do in the function
A sin B(x – C) + D
?

• Changes the amplitude
• Changes the period
• Changes the vertical position of the 'waves'
• Changes the horizontal position of the 'waves'