Mathematics
Grade10
Easy

Question

A company’s logo is modelled by the function f left parenthesis x right parenthesis equals negative vertical line x vertical line plus 3. For a new design, the company wants the logo to be narrower towards the y minus text  axis  end text, then find the function for the new logo.

  1. 5 left parenthesis negative vertical line x vertical line plus 3 right parenthesis
  2. negative vertical line 5 x vertical line plus 3
  3. negative open vertical bar 1 fifth x close vertical bar plus 3
  4. 1 fifth left parenthesis negative vertical line x vertical line plus 3 right parenthesis

The correct answer is: negative vertical line 5 x vertical line plus 3


    To make the logo narrower towards the y minus text  axis  end text, then the function must be horizontally compressed.
    g left parenthesis x right parenthesis equals f left parenthesis k x right parenthesis text  for  end text vertical line k vertical line greater than 1
    So, the correct function is negative vertical line 5 x vertical line plus 3 comma text  where  end text k equals 5 greater than 1.

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