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IGCSE MATHS Doubts

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Vin:

ans. should be 3 ..

the eqn f(x) + x – 1 = 0 means how many solutions are there for the eqn wen y=0 .. ;)

diva_sparkles:

--- Quote from: mdwael on May 15, 2010, 11:23:54 am ---Hey guys im preparing for P4 maths which to come in a few days and Ive been solving p4  oct/nov and there is a question I dont quite understand and I'd really appreciate your help.
It is question 2 on page 5 (iv) part, its about transformations and tells me to describe triangle U onto triangle X and I know its shear , y axis invariant, but the shear factor is -1, not 1 as I though, can someone please describe me how to know when the shear value is negative? thanks for your help in advance :)

--- End quote ---

it is negative whn the image is toward da left!!

Baladya:

--- Quote from: ~VIN1094~ on May 15, 2010, 12:40:52 pm ---ans. should be 3 ..

the eqn f(x) + x – 1 = 0 means how many solutions are there for the eqn wen y=0 .. ;)

--- End quote ---

Ya but how did you know it was y=0?

mdwael:

--- Quote from: A@di on May 15, 2010, 12:28:51 pm ---w09, paper 4, 2)iv

ok this negative shear factor thingy is horrible..i cant figure it out y the move upwards is considered negative.

anyhow, its always wiser to use the matrix method

take two object and correspoding image co-ordinates..

(-4,1) --> (-4,5)

(-1,1) --> (-1,2)

check the image attached

a shear transformation matrix with y-axis is invariant is = (1  0)
                                                                            (k   1)

here k = -1



--- End quote ---

Great thanks A LOT i never knew that a matrix gets inversed when its shifted to the other side of the equation

Vin:

u might wanna know this too ..

https://studentforums.biz/index.php/topic,5575.msg167872.html#msg167872

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