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    Mathematics
    Grade10
    Easy

    Question

    How is the function f left parenthesis x right parenthesis equals 2 to the power of x is translated to obtain the graph of the function g left parenthesis x right parenthesis equals 2 to the power of x minus 2 end exponent minus 7

    1. 2 units left and 7 units up 
    2.  2 units right and 7 units down 
    3. 2 units right and 7 units up 
    4. 2 units left and 7 units down

    The correct answer is: 2 units right and 7 units down

      For a given g left parenthesis x right parenthesis equals f left parenthesis x minus h right parenthesis plus k the graph of the function g is the graph of the function f translated h units horizontally, then translated k units vertically.
      h equals 2 comma k equals negative 7
      So, to obtain the function g left parenthesis x right parenthesis the graph of the function f left parenthesis x right parenthesis is translated 2 units right and 7 units down.

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