Maths
Grade-10
Easy

Question

Compare the graph of the function with the graph of f(x) = IxI. Describe the transformation. g(x) = (1/3)Ix + 6I – 1

  1. Moves to the right by 6 units, goes up by 1 unit and gets vertically compressed
  2. Moves to the left by 6 units, goes down by 1 unit and gets vertically compressed
  3. Moves to the left by 1 unit, goes down by 6 units and gets vertically stretched
  4. Moves to the right by 6 units, goes down by 1 unit and gets vertically stretched

hintHint:

When we multiply a function with a factor denoted with a it is called vertically compression. Know how to depict moving up ,down ,left ,right on axes be depicted in a formula.

The correct answer is: Moves to the left by 6 units, goes down by 1 unit and gets vertically compressed


    f(x) = aIx – hI + k
    h = -6 so graph moves to the left by 6 units.
    k = -1 so graph moves down by 1 unit.
    a = 1/3 so graph gets vertically compressed.

    Know how to visualize a graph.

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