Mathematics
Grade10
Easy

Question

Let f left parenthesis x right parenthesis equals x minus 5. How does the graph of g left parenthesis x right parenthesis equals 0.2 x minus 5 compare with the graph of f?

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

hintHint:

The variation of the function such that the functions relate by the constant factor a is overrides as 1/a.

The correct answer is: Horizontal stretch


    Horizontal Stretch:
    We can apply horizontal stretch to a function by multiplying its input values by a scale factor, a, where 0 < 1/a < 1. What does this mean for functions such as f(x)? When 1/a is multiplied to x, f(x)’s graph stretches horizontally by a scale factor of a.
    * Given g left parenthesis x right parenthesis equals 0.2 x minus 5
    g left parenthesis x right parenthesis equals f left parenthesis 0.2 x right parenthesis
    k = 0.2, when compared to g left parenthesis x right parenthesis equals f left parenthesis k x right parenthesis
    * So, the graph of g is horizontal stretch of the graph of f.

    The Horizontal Stretch is the variation of the function that stretches the function by multiplying the independent variables with the inverse of the coefficient of the function.
    >>>Therefore, we can say that the given function is Horizontally stretched. 

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