Mathematics
Grade10
Easy

Question

How does the graph p left parenthesis x right parenthesis equals cube root of x plus 9 end root compared to the graph of f left parenthesis x right parenthesis equals cube root of x?.

  1. Vertical translation by 9 units up
  2. Horizontal translation by 9 units left
  3. Vertical translation by 9 units down
  4. Horizontal translation by 9 units right

hintHint:

A diagram (such as a series of one or more points, lines, line segments, curves, or areas) that represents the variation of a variable in comparison with that of one or more other variables

The correct answer is: Horizontal translation by 9 units left


    Here, the graph p left parenthesis x right parenthesis equals cube root of x plus 9 end root has a translation by 9 units left when compared to the graph of f left parenthesis x right parenthesis equals root index 8 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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