Write an equation of the form y=a sin bx or y= a cos bx to describe the graph below. -2 2. 3. -

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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The image presents a task prompt and a graph.

**Prompt:**
"Write an equation of the form \( y = a \sin bx \) or \( y = a \cos bx \) to describe the graph below."

**Graph Description:**
- The graph is a sinusoidal wave plotted on a coordinate grid.
- The x-axis is labeled with values ranging approximately from \(-2\) to \(6\).
- The y-axis is centered and marked at regular intervals.
- The wave starts slightly above \(-2\) on the x-axis, ascends to a peak, descends through the origin, dips to a trough, and then rises to another peak before approaching zero as it reaches \(6\) on the x-axis.
- The wave appears to complete one full cycle between approximately \(-2\) and \(6\).

**Equation Input Box:**
Next to the graph, there is a blank input box where students are expected to enter their equation.

**Buttons:**
Below the input box are two buttons labeled "Explanation" and "Check." These likely allow students to get more information or verify their answer.
Transcribed Image Text:The image presents a task prompt and a graph. **Prompt:** "Write an equation of the form \( y = a \sin bx \) or \( y = a \cos bx \) to describe the graph below." **Graph Description:** - The graph is a sinusoidal wave plotted on a coordinate grid. - The x-axis is labeled with values ranging approximately from \(-2\) to \(6\). - The y-axis is centered and marked at regular intervals. - The wave starts slightly above \(-2\) on the x-axis, ascends to a peak, descends through the origin, dips to a trough, and then rises to another peak before approaching zero as it reaches \(6\) on the x-axis. - The wave appears to complete one full cycle between approximately \(-2\) and \(6\). **Equation Input Box:** Next to the graph, there is a blank input box where students are expected to enter their equation. **Buttons:** Below the input box are two buttons labeled "Explanation" and "Check." These likely allow students to get more information or verify their answer.
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