Mathematics
Grade10
Easy

Question

If g left parenthesis x right parenthesis is the transformation of  f left parenthesis x right parenthesis equals x after a vertical compression by 3 over 4 , a shift right by 2, and a shift down by 4. What a function for g left parenthesis x right parenthesis.

  1. g left parenthesis x right parenthesis equals open parentheses 3 over 4 x plus 2 close parentheses minus 4
  2. g left parenthesis x right parenthesis equals open parentheses 3 over 4 x minus 2 close parentheses minus 4
  3. g left parenthesis x right parenthesis equals 3 over 4 left parenthesis x minus 2 right parenthesis plus 4
  4. g left parenthesis x right parenthesis equals 3 over 4 left parenthesis x minus 2 right parenthesis minus 4

hintHint:

General evaluation of vertical compression.

The correct answer is: g left parenthesis x right parenthesis equals 3 over 4 left parenthesis x minus 2 right parenthesis minus 4


    Given That:
    If g left parenthesis x right parenthesis is the transformation of  f left parenthesis x right parenthesis equals x after a vertical compression by 3 over 4 , a shift right by 2, and a shift down by 4. What a function for g left parenthesis x right parenthesis.
    >>>Vertical shift of f(x) by 3/4 becomes 3/4(x)
    >>>Shifting right the function becomes 3/4(x-2)
    >>>Shifting right the function gives 3/4(x-2)-4.
    The function for g left parenthesis x right parenthesis text  is  end text 3 over 4 left parenthesis x minus 2 right parenthesis minus 4

    >>>Vertical shift of f(x) by 3/4 becomes 3/4(x)
    >>>Shifting right the function becomes 3/4(x-2)
    >>>Shifting right the function gives 3/4(x-2)-4.

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