How is the following trigonometric function translated on a graph from the origin? f(θ)=12sin(12θ−2π3)−2   4π3 units to the left and 2 units down   2π3 units to the right and 2 units up   2π3 units to the left and 2 units up   4π3 units to the right and 2 units down

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 56E
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How is the following trigonometric function translated on a graph from the origin?
f(θ)=12sin(12θ−2π3)−2
 
4π3 units to the left and 2 units down
 
2π3 units to the right and 2 units up
 
2π3 units to the left and 2 units up
 
4π3 units to the right and 2 units down
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