Draw the graph of the function y = 5 2 sin - x 3 showing at least two cycles. Be sure to clearly indicate the amplitude and period.

Given function is y = 5 2 sin - x 3 We know that the amplitude is the height from the mean value of the function to its maximum or minimum value. Thus, the amplitude of the given function = 5 2 Period of the function = 360 ° 1 3 = 1080 ° Thus, the graph of the given function is as follows:

This graph is a result of a transformation on y = sin x or y = cos x Identify the transformation, and determine the function of the transformed graph.

Given graph is We know that the amplitude is the height from the mean value of the function to its maximum or minimum value. Thus, the amplitude of the given function = 2 Period of the function = horizontal length of one complete cycle = 720 ° frequency = 360 ° 720 ° = 1 2 i.e., the number of cycles the graph takes between 0 ° and 360 ° is 1 2 . Thus, the graph of the given function is as follows: Since the given graph is similar to the graph of y = sin x but it is reflected over the x - a xis. Thus, required function of the transformed graph is y = - 2 sin 0 . 5 x

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Extended MYP Mathematics A Concept based approach Years 4 & 5>How Do They Measure Up?>Chapter 8 - Trigonometric Functions>Mixed practice

Rose Harrison, Clara Huizink, Aidan Sproat Clements and, Marlene Torres Skoumal Solutions for Exercise 19: Mixed practice

Author:Rose Harrison, Clara Huizink, Aidan Sproat Clements & Marlene Torres Skoumal

Rose Harrison Mathematics Solutions for Exercise - Rose Harrison, Clara Huizink, Aidan Sproat Clements and, Marlene Torres Skoumal Solutions for Exercise 19: Mixed practice

Attempt the practice questions from Exercise 19: Mixed practice with hints and solutions to strengthen your understanding. Extended MYP Mathematics A Concept based approach Years 4 & 5 solutions are prepared by Experienced Embibe Experts.

Questions from Rose Harrison, Clara Huizink, Aidan Sproat Clements and, Marlene Torres Skoumal Solutions for Exercise 19: Mixed practice with Hints & Solutions

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Extended MYP Mathematics A Concept based approach Years 4 & 5>Chapter 8 - Trigonometric Functions>Mixed practice>Q 2

Draw the graph of the function $y = \frac{5}{2} \sin (\frac{- x}{3})$ showing at least two cycles. Be sure to clearly indicate the amplitude and period.