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Complete the statements: The graph of y = k(x) is a _______ of the graph of y = d(x). The graph of y =...

4. Complete the statements:
The graph of y = k(x) is a _______ of the graph of y = d(x).
The graph of y = d(x).
b. For the graph of y = a(x) to coincide with the graph of y = k(x), a(x) is shifted _______ 5 units.
c. The shift can be seen in the table of values, with 5 units being _______ to _______ of d(x) for each corresponding _______ in the table of values for k(x).
5. Write the function for each shift in terms of a(x).
Up 5 units h(x) = _______
Down 3 units k(x) = _______

Answer

  1. The graph of y = k(x) is a vertical shift of the graph of y = d(x).

  2. For the graph of y = a(x) to coincide with the graph of y = k(x), a(x) is shifted up 5 units.

  3. The shift can be seen in the table of values, with 5 units being added to y-values of d(x) for each corresponding x-value in the table of values for k(x).

  4. Write the function for each shift in terms of a(x).

    • Up 5 units h(x) = a(x) + 5
    • Down 3 units k(x) = a(x) - 3

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