below is the graph of a trigonometric function. it has a minimum point at $(-5.4, 1.25)$ and a maximum point at $(7.4, 6.75)$.

what is the amplitude of the function?

Question

below is the graph of a trigonometric function. it has a minimum point at $(-5.4, 1.25)$ and a maximum point at $(7.4, 6.75)$.

what is the amplitude of the function?

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Trigonometric Amplitude" ], "new_concepts": [], "current_concepts": [ "Trigonometric Amplitude", "Amplitude and Minimum" ] } ## Identify the maximum and minimum values $$ \begin{aligned} y_{\text{max}} &= 6.75 \ y_{\text{min}} &= 1.25 \end{aligned} $$ ## Calculate the amplitude $$ \begin{aligned} A &= \frac{y_{\text{max}} - y_{\text{min}}}{2} \ A &= \frac{6.75 - 1.25}{2} \ A &= \frac{5.5}{2} \ A &= 2.75 \end{aligned} $$ $2.75$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Geometry", "Trigonometric Amplitude" ] }

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Question

Explanation:

Identify the maximum and minimum values

Calculate the amplitude

Answer: