Mathematics
Grade10
Easy

Question

For a given pair f left parenthesis x right parenthesis equals square root of x minus 1 end root comma g left parenthesis x right parenthesis equals 7 over 9 square root of x minus 1 end root the graph of g is a ___________
of the graph of f

  1. Vertical stretch
  2. Vertical compression
  3. Horizontal stretch
  4. Horizontal compression

The correct answer is: Vertical compression


    g left parenthesis x right parenthesis equals 7 over 9 square root of x minus 1 end root equals 7 over 9 f left parenthesis x right parenthesis equals 0.77 f left parenthesis x right parenthesis where k equals 0.77 less than 1
    g left parenthesis x right parenthesis equals k f left parenthesis x right parenthesis text  for  end text 0 less than vertical line k vertical line less than 1
    So, the graph of g is a vertical compression of the graph of f.

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