## Thursday, 25 July 2013

### GRAPH SKETCHINGANALYSIS OF SINE GRAPHS

in the following activities, post your responses as a comment.

Activity 1:

Define the following terms, where possible identify the context when it is applied.
A. Amplitude
B. Wavelength
C. Frequency
D. Phase
E. Characteristics of the Wave

Activity 2:
Study the following graphs with reference to y = sinx and (1) identify the transformation (s) of the graphs eg. enlargement, shift in x-direction. (2) State whether the new graph is similar to y = sinx. (3) suggest possible the 'transformed' equation. Note that x is in radian.

original
y = sinx

transformation 1

transformation 2

transformation 3

transformation 4

#### 1 comment:

1. Activity1:
a）Maximum displacement of the wave with reference to the rest position.

b) Shortest distance between 2 pts in phase

c) Lambda of waves travels per second

d) Particular pt in the cycle of a waveform, measured as an angle in degrees.

e) Amplitude, wavelength, speed, period, frequency.

Activity 2:
Y=3sin(X)
Y=sin(2X)
Y= sin(X-1/3pi)
Y=sin(X)+2