Trig Transformations

What does c do in the function f(x) = asin[k(x-b)] + c ?

• Changes the amplitude

• Changes the equation of the axis and vertical position of the 'waves'

• Expands/compresses the function vertically

• Causes a reflection

Which parameter in the function g(x) = cos [k(x-b)] + c affects the period by expanding or compressing?

• a

• k

• b

• c

What does b do in the function f(x) = sin[k(x-b)] + c?

• Changes the amplitude

• Expands/compresses the function vertically

• Causes a reflection

• Shifts the function horizontally left or right

In the function g(x) = 2cos[4(x -  $\pi$ )] + 5, there is a horizontal shift to the left by $\pi$ 

• True 

• False 

• I don't know 

• :) 

In the function g(x) = -3cos[1/2(x -  $2\pi$ )] + 5, there is a horizontal shift to the right by $2\pi$ 

• True 

• False 

• I don't know 

• :) 

Which parameter in g(x) = cos[k(x - b)] + c affects the vertical compression/expansion of the graph?

• k

• a

• b

• c

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

• -3

• -6

• 3

• 6

In the graph shown, what is the equation of the axis?

• y=1

• y=2

• 1

• 1

In the graph shown, what is the value of 'a' or the amplitude?

• 4

• -4

• 2

• -2

In the graph shown, what is the value of k?

• 3

• -3

• 2

• -2