GRAPH SKETCHING
ANALYSIS 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
Activity1:
ReplyDeletea）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