**Equation:**14) \( y = -2 + \sin\left(x + \frac{\pi}{2}\right) \)**Graph Description:**The graph provided is a coordinate plane with labeled axes. The x-axis and y-axis are centered and marked with evenly spaced intervals. The graph is meant to represent the function \( y = -2 + \sin\left(x + \frac{\pi}{2}\right) \).**Graph Explanation:**- **Function Details:** - The function is a transformation of the standard sine wave. - The term \(\frac{\pi}{2}\) inside the sine function represents a phase shift to the left by \(\frac{\pi}{2}\) units. - The \(-2\) indicates a vertical shift downward by 2 units.- **Axes:** - The x-axis is labeled and marked with equal intervals to represent the independent variable, \(x\). - The y-axis is labeled and marked with equal intervals to represent the dependent variable, \(y\).- **Expected Function Behavior:** - The sine curve has been phase-shifted to the left and vertically shifted downwards. - The amplitude remains the same as the standard sine function, which is 1.This graph is useful for visualizing the effects of phase and vertical shifts on trigonometric functions.

Name: **Equation:**14) \( y = -2 + \sin\left(x + \frac{\pi}{2}\right) \)**G
Uploaded: 2024-03-20T06:46:55.000Z
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Description: **Equation:**14) \( y = -2 + \sin\left(x + \frac{\pi}{2}\right) \)**Graph Description:**The graph provided is a coordinate plane with labeled axes. The x-axis and y-axis are centered and marked with evenly spaced intervals. The graph is meant to rep

We first make a table for the function. y=-2+sinx+π2 x -π -π2 0 π2 π y -3 -2 -1 -2 -3

Answered: 14) y = -2 + sin |x + 2

Math

Trigonometry

14) y = -2 + sin |x + 2

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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