Which one describes the translation of f(x) to g(x) ?

Which one describes the translation of f(x) to g(x) ?


[tex]Which one describes the translation of f(x) to g(x) ?[/tex]

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  1. Option (1)

    Step-by-step explanation:

    Given question is incomplete; find the picture of the graph in the attachment.

    Parent function f(x) = [tex]\frac{1}{2^x}[/tex]

    When function 'f' is translated by 4 units up which is evident form the graph, the translated function obtained is,

    g(x) = f(x) + 4

    g(x) = [tex]\frac{1}{2^x}+4[/tex]

    Therefore, Option (1). [Translation of 4 units up] is defined by the graph attached.

    [tex]Which describes the translation of f(x) to g(x)? translation of four units up translation of five un[/tex]

  2. As you can see, each point on f(x) is moved up 4 units to get to g(x), so the function is g(x) = f(x) + 4.  The f(x) function cannot possibly be f(x)=1/2, though, because that would be a horizontal line through y = 1/2 and that function is clearly not a horizontal line.  So whatever f(x) is REALLY, add 4 to the tail end of it to show its translation.

  3. The translation function g(x) is given as:

    [tex]g(x)=\dfrac{1}{2^x}+4[/tex]

    step-by-step explanation:

    The parent function is f(x) and its representation is given as:

    [tex]f(x)=\dfrac{1}{2^x}[/tex]

    Now the graph g*x) is obtained by translation of the graph f(x) by some units.

    Now as the graph of g(x) is a shift of the graph f(x) or the graph g(x) is translated by 4 units upwards.

    hence the function g(x) is represented by:

    g(x)=f(x)+4.

    Hence the translation function g(x) is given as:

    [tex]g(x)=\dfrac{1}{2^x}+4[/tex]

    [tex]The graph shows f(x) = 1/2 and its translation, g(x). which describes the translation of f(x) to g(x[/tex]

  4. Answer by YourHope:

    Hi! 🙂

    The graph shows f(x) = [1/2]^x and its translation, g(x). Which describes the translation of f(x) to g(x)?

    Translation of four units up! The f(x) function cannot possibly be f(x)=1/2, though, because that would be a horizontal line through y = 1/2 and that function is clearly not a horizontal line.  So whatever f(x) is really, add 4 to the tail end of it to show its translation!

    🙂

  5. The answer is Said Imneverlackin'alwayspistolpacking

    Wait, wait, wait, wait, ayy, ayy,

    Step-by-step explanation:

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