Pre-Calculus Swarts Unit 4C – Day 2 Homework Transformations of Tangent & Cotangent Functions

Name_____________________________________

Directions: Identify the stretch/shrink, period, and transformations of the function. Then graph one period of the function. 1) 𝑓𝑓(𝑥𝑥) = 3cot �2x + Str/Shr: _____________

5π � 6

−2

Period: ____________ Interval: Shifts:

x 2

2) 𝑓𝑓(𝑥𝑥) = 2tan � � − 1 Str/Shr: _____________ Period: ____________ Interval: Shifts:

3) 𝑓𝑓(𝑥𝑥) =

1 2

cot �2x +

Str/Shr: _____________ Period: ____________ Interval:

Shifts:

4) 𝑓𝑓(𝑥𝑥) = tan (2x) + 1

Str/Shr: _____________ Period: ____________ Interval: Shifts:

7π � 4

−1

5) 𝑓𝑓(𝑥𝑥) = −

1 2

x 3

tan � � + 2

Str/Shr: _____________ Period: ____________ Interval: Shifts:

6) 𝑓𝑓(𝑥𝑥) = − cot �x + Str/Shr: _____________

2π � 3

Period: ____________ Interval: Shifts:

x 3

7) 𝑓𝑓(𝑥𝑥) = 4tan � � + 2 Str/Shr: _____________ Period: ____________ Interval: Shifts:

8) 𝑓𝑓(𝑥𝑥) = 3cot �

x 3

Str/Shr: _____________ Period: ____________ Interval: Shifts:

π 6

− � +2