Mathematics
Grade10
Easy

Question

Describe how the graph of the function g left parenthesis x right parenthesis equals 7 left parenthesis x minus 1 right parenthesis compares with the graph of the function f left parenthesis x right parenthesis equals x minus 1

  1. Vertical compression
  2. Vertical stretch
  3. Horizontal compression
  4. Horizontal stretch

hintHint:

The variation of the function by multiplying the values of the independent variables with the constant.

The correct answer is: Vertical stretch


    * Given f left parenthesis x right parenthesis equals x minus 1 and
    g left parenthesis x right parenthesis equals 7 left parenthesis x minus 1 right parenthesis equals 7 f left parenthesis x right parenthesis comma k equals 7 greater than 0
    * Multiplying the output of a linear function f by k scales its graph vertically.
    * So, when k > 1 the transformed graph is vertical stretch.
    >>>Therefore, we can say that the given function is an example of vertical stretch.

    Vertical stretch is a type of compression of the functions with the independent variable.

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