Translating Trig Graphs

Describe the horizontal shift.

• left π / 2

• left 2π

• right 2π

• right π / 2

Describe the horizontal shift.

• left 3π / 4

• left 4π / 3

• right 3π

• right 3π / 4

Describe the horizontal and vertical shifts.

• left π , up 4

• left π , down 3

• right π , up 4

• right π , down 3

Let f(t) = sin(t) and g(t) = sin(t - 4). What transformation of f(t) results in g(t)?

• Vertical Translation

• Horizontal Translation

• Vertical Dilation

• Horizontal Dilation

Let f(t) = sin(t) and g(t) = sin(t) + 4. What transformation of f(t) results in g(t)?

• Vertical Translation

• Horizontal Translation

• Vertical Dilation

• Horizontal Dilation

Which function below matches this graph? (shift left :))

• tan(x-π/4)

• tan(x+π/4)

• cot(x)

• π/4cot(x)

• A
• B
• C
• D

Which function below describes only the following transformations?
Reflection over x-axis
Down 2
Period: 2π/3
Amplitude: 2

• cot3(x)+2

• -3cos2(x-2)

• -2-2csc3(x)

• sec2(x+2π/3)+2

Describe the transformation of the parent function y = sin θ to y = 3 sin θ − 2 (Hint: Identify the values of A & D) Remember : y = A sin B(θ − C) + D

• stretches vertically by a factor of 3, and up 2 units

• stretches horizontally by a factor of 3 and down 2 units

• stretches vertically by a factor of 3 and down 2 units

• stretches horizontally by a factor of 3 and up 2 units

What is the equation of the graph shown?

• y = 2sin(θ + π/2) + 2

• y = 2cos(θ - π/2) + 2

• y = 2sin(θ - π/2) + 2

• y = 2cos(θ + π/2) + 2