Mathematics
Grade10
Easy

Question

For a given pair f left parenthesis x right parenthesis equals x plus 4 comma g left parenthesis x right parenthesis equals 0.3 x plus 4 , 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: Horizontal stretch


    g left parenthesis x right parenthesis equals 0.3 x plus 4 equals f left parenthesis 0.3 x right parenthesis comma text  where  end text k equals 0.3 less than 1
    g left parenthesis x right parenthesis equals f left parenthesis k 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 horizontal stretch of graph of f

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