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    Do you do stretching before any shifting [i.e. moving to the side or up] for graph transforms?

    What's the order of doing graph transforms e.g. which procedures occur first?

    Many thanks for any replies
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    (Original post by buzfvar_1)
    Do you do stretching before any shifting [i.e. moving to the side or up] for graph transforms?

    What's the order of doing graph transforms e.g. which procedures occur first?

    Many thanks for any replies
    I would say, first change the period (stretching), then change the amplitude, then do the shifting
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    (Original post by buzfvar_1)
    Do you do stretching before any shifting [i.e. moving to the side or up] for graph transforms?

    What's the order of doing graph transforms e.g. which procedures occur first?

    Many thanks for any replies
    r u into matrices or sine/cos curves? gcse lvl?
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    (Original post by z!D4N)
    r u into matrices or sine/cos curves? gcse lvl?
    I think he's doing AS
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    AS, no matrices, just good ol' Sin, Cos, Tan graphs
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    surely it depends on the expression?

    if you have an expression f(x) = sinx

    then f(x-a) + b is a translation through (a,b)

    a.f(bx) is a stretch of 1/b horizontally and a stretch of a vertically.

    To exemplify the difference, consider

    f(b(x-a)) and f(bx -a), the first is a translation through (a,0) then a stretch of 1/b horizonstally, the other is a stretch of 1/b horizontally then a translation through (a,0).

    This is what I think anyway, correct me if I'm wrong.
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    you should stretch before shifting, because stretching is about the origin, so you cant change that.
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    sorry to steal your thread buddy, but i was wondering if anyone had any ways to remember what the arcsin, cos, tan and sec, cosec, cot graphs look like? ive done p2 past papers with them and they lost me big points...
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    (Original post by kikzen)
    sorry to steal your thread buddy, but i was wondering if anyone had any ways to remember what the arcsin, cos, tan and sec, cosec, cot graphs look like? ive done p2 past papers with them and they lost me big points...
    To remember the first three I just look at sin,cos,tan on their side. The last three, draw the sin,cos,tan graph and then look at what 1/f(x) would look like.
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    (Original post by kikzen)
    sorry to steal your thread buddy, but i was wondering if anyone had any ways to remember what the arcsin, cos, tan and sec, cosec, cot graphs look like? ive done p2 past papers with them and they lost me big points...
    for sec, cosec and cot, remember to replace x-axis roots with vertcial asymptotes, and swap maximum points for minimum points.
    e.g. cosecx:
    First consider sinx between 0 and 360. Roots occur at 0°, 180° and 360°, so draw asymptotes at these points. Maximum at 90° and minimum at 270°, so for cosecx, you have a minimum turning point at (90° , 1) and a maximum at (270° , -1)

    Hope this helps
    Michael.
 
 
 
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