Mathematics
Grade10
Easy

Question

Find a pair that the graph of g is a horizontal stretch of the graph of f.

  1. f left parenthesis x right parenthesis equals square root of x minus 4 end root comma g left parenthesis x right parenthesis equals square root of 3 x minus 4 end root
  2. f left parenthesis x right parenthesis equals x squared plus 4 comma g left parenthesis x right parenthesis equals 2 x squared plus 8
  3. 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
  4. f left parenthesis x right parenthesis equals x minus 3 comma g left parenthesis x right parenthesis equals 0.8 x minus 3

The correct answer is: f left parenthesis x right parenthesis equals x minus 3 comma g left parenthesis x right parenthesis equals 0.8 x minus 3


    For horizontal stretch g left parenthesis x right parenthesis equals f left parenthesis k x right parenthesis text  for  end text 0 less than k less than 1
    g left parenthesis x right parenthesis equals 0.8 x minus 3 equals f left parenthesis 0.8 x right parenthesis
    0 less than k equals 0.8 less than 1

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