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    I was doing a solomon paper and stumbled across this question and don't know how to do any of the parts. I tried part (c) but it didn't work out.

    (a) Describe fully a single transformation that maps the graph of y = 3x onto the graph of y = ( 1/3 )x.

    (b) Sketch on the same diagram the curves y = ( 1/3 )x and y = 2(3x), showing the coordinates of any points where each curve crosses the coordinate axes.

    The curves y = ( 1/3 )x and y = 2(3x) intersect at the point P.

    (c) Find the x-coordinate of P to 2 decimal places and show that the y-coordinate of P is (square root)2 .
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    what exam board r u and what letter soloman paper??
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    (Original post by jessyjellytot14)
    I was doing a solomon paper and stumbled across this question and don't know how to do any of the parts. I tried part (c) but it didn't work out.

    (a) Describe fully a single transformation that maps the graph of y = 3x onto the graph of y = ( 1/3 )x.

    (b) Sketch on the same diagram the curves y = ( 1/3 )x and y = 2(3x), showing the coordinates of any points where each curve crosses the coordinate axes.

    The curves y = ( 1/3 )x and y = 2(3x) intersect at the point P.

    (c) Find the x-coordinate of P to 2 decimal places and show that the y-coordinate of P is (square root)2 .
    For the first part it becomes easy to see when you write (\frac{1}{3})^x=3^{-x}.

    Sketching y=3^x just requires noting that the curve is always (strictly) increasing (and concave up) and it tends towards 0 as x \rightarrow -\infty. Then multiplying by 2 all you really need to change is the y-intercept.

    From part (a) it should be easy to sketch the other curve.

    Part (c) is just a matter of isolating x, so start by multiplying both sides by 3^x.
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    sec C + http://www.cymath.com/answer.php?q=(...%5Ex)%20%20%20

    then 3^x= rt0.5=1/rt2*rt2/rt2=0.5rt2
    y=2*0.5rt2=rt2
    answer = rt2

    (Original post by jessyjellytot14)
    I was doing a solomon paper and stumbled across this question and don't know how to do any of the parts. I tried part (c) but it didn't work out.

    (a) Describe fully a single transformation that maps the graph of y = 3x onto the graph of y = ( 1/3 )x.

    (b) Sketch on the same diagram the curves y = ( 1/3 )x and y = 2(3x), showing the coordinates of any points where each curve crosses the coordinate axes.

    The curves y = ( 1/3 )x and y = 2(3x) intersect at the point P.

    (c) Find the x-coordinate of P to 2 decimal places and show that the y-coordinate of P is (square root)2 .
 
 
 
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