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23 October, 00:00

How does the graph of y = StartRoot x EndRoot + 2 compare to the graph of the parent square root function?

The graph is a horizontal shift of the parent function 2 units right.

The graph is a horizontal shift of the parent function 2 units left.

The graph is a vertical shift of the parent function 2 units up.

The graph is a vertical shift of the parent function 2 units down.

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Answers (1)
  1. 23 October, 00:49
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    The graph is a vertical shift of the parent function 2 units up.

    Step-by-step explanation:

    Our the function is:

    y = √x + 2

    Its parent function is: f (x) = √x

    Answer:

    The graph is a vertical shift of the parent function 2 units up.

    Step-by-step explanation:

    Our the function is:

    y = √x + 2

    Its parent function is: f (x) = √x

    Then, the transformation can be rewritten as: f (x) + 2, which has the form f (x) + c, which is a vertical shift of f (x) c units up. Therefore, in this case, the parent function is shifted 2 units up.
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