How do phase shifts work in trig graphs?

Problem Statement

How do phase shifts work in trig graphs?

Step-by-Step Explanation

A phase shift moves a trig graph left or right by changing the input inside the trig function.

1. Identify what the question is asking. In Trigonometry, this usually means naming the known quantities, the unknown quantity, and the concept that connects them.
2. Write the relevant definition, rule, or relationship before substituting numbers or manipulating symbols.
3. Work one step at a time and keep units, signs, and restrictions visible.
4. Check whether the answer makes sense in the original context.

Final Answer

A phase shift moves a trig graph left or right by changing the input inside the trig function. The reliable strategy is to start from the definition, apply the correct rule carefully, and then interpret the result in plain language.