# Sine functions and Sound Waves - An Investigation

## Task 2B: Properties of a sine function

Questions: 1) Place the appropriate letter (a,b,h or k) in the equation where it belongs f(x) = ___ sin ___( x - ___) + ___ ﻿ ﻿ ﻿ ﻿ ﻿ ﻿ ﻿ ﻿ ﻿ ﻿ ﻿ ﻿ ﻿﻿ 1 mark 2) Define what changing the a value does to the graph 1 mark 3) Define what changing the b value does to the graph 1 mark 4) Define what changing the h value does to the graph 1 mark 5) Define what changing the k value does to the graph 1 mark 6) Below are terms used for each of those 4 values - please write to corresponding letter for each term: 4 Marks Phase Shift ___ Vertical Shift___ Frequency ___ Amplitude ___ 7) With the values of a=1, b=1, h=0 and k=0 what is the length of one piece of the wave? 1 mark

## Responses for Task 2B: Properties of a sine function

Write your responses to the questions above in this text box

## Answering questions on "Properties of sound waves in terms of their respective sine functions'.

Use the applet above in task 3 to answer the following questions related to sine functions and their respective sound waves. 1. What part of the sine function relates to the volume of sound? 1 mark 2. What part of the sine function relates to the pitch of sound? 1 mark