Mathematics
Grade10
Easy

Question

For a given pair f left parenthesis x right parenthesis equals x minus 3 comma g left parenthesis x right parenthesis equals 4 x minus 12, 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 stretch


    g left parenthesis x right parenthesis equals 4 x minus 12 equals 4 left parenthesis x minus 3 right parenthesis equals 4 f left parenthesis x right parenthesis comma text  where  end text k equals 4 greater than 1
    g left parenthesis x right parenthesis equals k f left parenthesis x right parenthesis text  for  end text vertical line k vertical line greater than 1
    So, the graph of g is a vertical stretch of graph of f

    Related Questions to study

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.