Could you show me which transformation ?

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1 Answer
Mar 4, 2018

Letter E: A translation of 2 units up, followed by a vertical scaling by a factor of 1/3.

Explanation:

  1. First we have #y=x^3#
    graph{x^3 [-10, 10, -5, 5]}

  2. Then we translate it 2 units up which yields #y=x^3+2#
    graph{x^3+2 [-10, 10, -5, 5]}

  3. Finally we scale vertically by the #1/3# factor giving #y=(x^3+2)/3#
    graph{(x^3+2)/3 [-10, 10, -5, 5]}