Author Topic: P1 pure math CIE Help June 09 question 4  (Read 950 times)

Offline doubtigetastar

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P1 pure math CIE Help June 09 question 4
« on: May 10, 2010, 01:58:18 pm »
I don't know how to find a,b,c any help is appreciated :D

nid404

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Re: P1 pure math CIE Help June 09 question 4
« Reply #1 on: May 10, 2010, 02:03:12 pm »
ohkay

c is the y-intercept. So, you get this first as +3

The equation of the given graph reduces to y=a sinbx +3


Functions of the form f(x) = a sin x are dilation of the curve sin x parallel to the y axis.
Now the normal graph of sin(x) lies between – 1 and + 1.
In the graph we have been given that the graph lies between + 9 and -3
So the graph has been dilated 6 times. Thus a = 6.

The equation of the given graph reduces to y = 6 sin(bx) + 3

Functions of the form f(x) = sin(bx) are dilation of the curve sinx parallel to the x – axis.
This means that the period of the graph is altered.
The graph of f(x) = sin(bx) will show b cycles in 2\pi radians meaning that its ...
period will be given by T= 2\pi/ b  
T of the graph is \pi  
b=2


The equation of the given graph reduces to y = 6 sin(2x) + 3
Comparing with the graph of y = a sin(bx) + c  we get a = 6, b = 2 and c = 3.

Offline doubtigetastar

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Re: P1 pure math CIE Help June 09 question 4
« Reply #2 on: May 10, 2010, 02:26:28 pm »
Thank you:)

nid404

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Re: P1 pure math CIE Help June 09 question 4
« Reply #3 on: May 10, 2010, 02:27:34 pm »
Not a problem  ;)

Offline highly_ambitious

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Re: P1 pure math CIE Help June 09 question 4
« Reply #4 on: May 11, 2010, 06:18:58 pm »
nid404 thanks yar..for solving this question...this questions disturbed me alot....Thanks u!!!!!!!!!!

nid404

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Re: P1 pure math CIE Help June 09 question 4
« Reply #5 on: May 11, 2010, 06:43:05 pm »
my pleasure  ;)