Mathematics
Grade10
Easy

Question

Describe how the function g left parenthesis x right parenthesis equals 5 left parenthesis x minus 2 right parenthesis plus 3 compares with the graph of the function f left parenthesis x right parenthesis equals 5 x plus 3

  1. Translates 2 units left horizontally
  2. Translates 2 units right horizontally
  3. Translates 2 units up vertically
  4. Translates 2 units down vertically

hintHint:

Compare the terms of the functions and then made decision.

The correct answer is: Translates 2 units right horizontally


    * Given f left parenthesis x right parenthesis equals 5 x plus 3
    g left parenthesis x right parenthesis equals 5 left parenthesis x minus 2 right parenthesis plus 3 equals f left parenthesis x minus 2 right parenthesis
    * When compared with f left parenthesis x minus k right parenthesis comma k equals 2
    Translates the graph 2 units right horizontally.
    >>>Therefore, the given function f(x) translates by 2 units to right horizontally to obtain g(x).

    f(x) = 5x+3 and g(x) = 5(x-2)+3
    >>>Then, By comparing the terms of equations there is exactly 2 units shift of g(x) to right to reach f(x).

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