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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