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Math Help - shift graph

  1. #1
    Newbie
    Joined
    Apr 2008
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    1

    Exclamation shift graph

    Hi, can anyone help me with the following?:

    Starting with the graph of f (x) = 2x, write the equation
    of the graph that results from
    (a) shifting
    f (x) 1 units upward. y =

    (b) shifting
    f (x) 1 units to the right. y =

    (c) reflecting
    f (x) about the y-axis. y =

    (d) shifting
    f (x) left 6 units, then reflecting about the y-axis.

    y =

    AND

    Find the exponential function
    f (x)=ax whose graph
    goes through the point
    (2,25).

    a
    = .
    Hint: (be like Sherlock!!) since
    (2,25) is on the graph of y=ax,

    that means that when we sub in
    x = 2 and y = 25 we get...?

    Thank You So Much!
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  2. #2
    MHF Contributor
    Joined
    Aug 2007
    From
    USA
    Posts
    3,111
    Thanks
    2
    Have you considered experimenting?

    Start with y = 2x

    How do you shift UP 2 units?

    Is it y + 2 = 2x or y = 2x + 2 or something else?

    How do you shift RIGHT 2 units?

    Is it y = 2x + 2 or y = 2(x+2) or something else?

    How do you reflect across the x-axis?

    Is it y = -2x or -y = 2x or are those the same or is it something else?

    Don't worry about breaking anything. They are just equations. It's okay to experiment.
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