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[CIE] All Pure Mathematics (P1, P2 and P3) doubts here !

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elemis:
You would equate the discriminant as follows :

b2-4ac > 0

I Jimmy I:
Lovely!
Thank You :)

I Jimmy I:
Ok can some1 help me solve question 4?

To find the values of a,b and c

I know c is the y-intercept which is 3.
I know b is the number of cycles which is 2.
But I dunno how we got a=6 altho the maximum value is 9 and minimum value is -3
Cheers

elemis:

--- Quote from: I Jimmy I on May 06, 2011, 12:18:02 pm ---Ok can some1 help me solve question 4?

To find the values of a,b and c

I know c is the y-intercept
So how do I find "a" and "b"
Cheers

--- End quote ---

360/b = the period of the curve. Since, in this case, it repeats itself every 180 degrees, b = 2.

C represents how many units the normal sine curve has been translated upwards from its normal position. Can you figure this out for yourself ?

elemis:

--- Quote from: I Jimmy I on May 06, 2011, 12:18:02 pm ---But I dunno how we got a=6 altho the maximum value is 9 and minimum value is -3

--- End quote ---

'a' represents the vertical stretch factor. that has been applied to the normal sine curve.

Translate the curve in the question back to its original position and consider the max and min points..... Can you see the stretch factor ?

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