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    Ok, I'm doing a practice maths paper and the questions is:

    Write down the number of soutions for f(x)=1.

    There is a graph I don't know if you need this to solve the question? But I havn't done anything about f(x) so I'm really stuck. It's probably really simple, but I just don't get it.

    Please help! Thanks!
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    'f(x)=' 'some function of x equals'. at c1 its just another way of writing 'y='

    the number of solutions are the number of times the line y=1 crosses the curve/line/thing on your graph...
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    (Original post by Lula-May)
    Ok, I'm doing a practice maths paper and the questions is:

    Write down the number of soutions for f(x)=1.

    There is a graph I don't know if you need this to solve the question? But I havn't done anything about f(x) so I'm really stuck. It's probably really simple, but I just don't get it.

    Please help! Thanks!
    f(x) = 1
    y = f(x)
    Therefore y = 1

    Draw this line on the graph. It is a horizontal line at 1 on the y-axis. Count how many times this line cuts the graph and there's your answer.

    This is a solomen paper, right?
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    Ah! Ok thanks people! That's a tremendous help!

    There's another part to this question about transforming graphs which for some reason is a topic we haven't covered yet (exams in 2 weeks!!!!!).

    Does anyone know any good websites that might help me teach myself transforming graphs?

    Thanks once again!
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    (Original post by Lula-May)
    Ah! Ok thanks people! That's a tremendous help!

    There's another part to this question about transforming graphs which for some reason is a topic we haven't covered yet (exams in 2 weeks!!!!!).

    Does anyone know any good websites that might help me teach myself transforming graphs?

    Thanks once again!
    General rules for graph transformations.

    f(x+a) => translation of -a in x-direction.

    f(x-a) => translation of +a in the x-direction.

    af(x) => stretch of a in the y-direction (multiply y-coordinates by a, x-coordinates remain the same)

    f(ax) => stretch of 1/a in the x-direction (multiply x-coordinates by 1/a, y-coordinates remain the same)

    y = a/x => stretch of +a in the y-direction (multiply y-coordinates by a, x-coordinates remain the same).
    E.g. 3/x is a stetch of factor 3 of 1/x in the y direction. x-coordinates remain the same, y-coordinates remain the same.

    y=f(-x) => reflection of original graph in the y-axis. Multiplying x-coordinates by -1. E.g. (3,0) becomes (-3,0)

    y = -f(x) => reflection of original graph in the x-axis.

    P.S What's the question?
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    Thank you so much for typing all that up widowmaker!

    Part b of the question (so the part about transformations) is:

    Labelling the axes in a similar way, sketch on separate diagrams the graphs of:

    i) y=f(x-2)
    ii) y=f(2x)
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    we can remember the transformations as 'left plus, right minus'
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    (Original post by Bill.L)
    we can remember the transformations as 'left plus, right minus'
    Completely irrelevant but you mean +/-? I like that...
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    (Original post by Lula-May)
    Thank you so much for typing all that up widowmaker!

    Part b of the question (so the part about transformations) is:

    Labelling the axes in a similar way, sketch on separate diagrams the graphs of:

    i) y=f(x-2)
    ii) y=f(2x)
    graph shifts +2 on the x-axis
    as windowmaker says; times each x co-ordinate by 1/2
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    (Original post by El Stevo)
    Completely irrelevant but you mean +/-? I like that...
    yes, f(x+a) the curve transforms to left, similar if f(x-a), the curve tranforms to right
    if y=x+a, the curve transforms to up; if y+x-a, the curve transforms to down
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    yeah, i know how to do them, my maths teacher has a dirty way of remembering it, but +/- is sweeeeet...
 
 
 
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