Mathematics
Grade10
Easy

Question

Write the equation of the transformed function f left parenthesis x right parenthesis equals 0.5 x plus 3 when the function is vertically stretch by a scale factor of 6.

  1. g(x) = 3x + 3
  2. g(x) = 3x + 18
  3. g(x) = 3x - 18
  4. g(x) = 3x - 3

hintHint:

Vertical stretch is a multiplication of the constant factor with the given function.

The correct answer is: g(x) = 3x + 18


    Given That:
    Write the equation of the transformed function f left parenthesis x right parenthesis equals 0.5 x plus 3 when the function is vertically stretch by a scale factor of 6.
    * Given function f left parenthesis x right parenthesis equals 0.5 x plus 3
    The function is vertically stretch by a scale factor of 6
    g(x) = k*f(x), where k = 6
    g left parenthesis x right parenthesis equals 6 left parenthesis 0.5 x plus 3 right parenthesis equals 3 x plus 18
    >>>Therefore, the given function becomes 3x + 18 after vertical stretch by 6 units.

    The function f left parenthesis x right parenthesis equals 0.5 x plus 3 becomes 3x + 18 after vertical stretch.

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