Thursday 25 July 2013

Trigonometry Graph - Transformation

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






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

    ReplyDelete