Mathematics
Grade10
Easy

Question

For a given pair f left parenthesis x right parenthesis equals vertical line x minus 9 vertical line comma g left parenthesis x right parenthesis equals 3 over 4 vertical line x minus 9 vertical line, 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 3 over 4 vertical line x minus 9 vertical line equals 3 over 4 f left parenthesis x right parenthesis equals 0.75 f left parenthesis x right parenthesis comma text  where  end text k equals 0.75 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 graph of f.

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