Mathematics
Grade10
Easy

Question

How does the graph p left parenthesis x right parenthesis equals cube root of x minus 5 compared to the graph of f left parenthesis x right parenthesis equals cube root of x?

  1. Vertical translation by 5 units up
  2. Horizontal translation by 5 units left
  3. Vertical translation by 5 units down
  4. Horizontal translation by 5 units right

hintHint:

A function in maths is a special relationship among the inputs (i.e. the domain) and their outputs (known as the codomain) where each input has exactly one output and the output can be traced back to its input. 

The correct answer is: Vertical translation by 5 units down


    Here, the graph p left parenthesis x right parenthesis equals cube root of x minus 5 has a translation by 5 units down when compared to the graph of f left parenthesis x right parenthesis equals cube root of x.

    Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.

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