The function f(x)= square root of x is translated using the rule (x, y) → (x – 6, y + 9) to create A(x). Which expression describes the ran

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The function f(x)= square root of x is translated using the rule (x, y) → (x – 6, y + 9) to create A(x). Which expression describes the range of A(x)?

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    2021-09-06T11:05:48+00:00

    The function f(x)=\sqrt{x} is translated according to the rule

    (x,y)\rightarrow (x-6,y+9).

    This translation is translation 6 units to the left and 9 units up.

    1. Translation of the function f(x)=\sqrt{x} 6 units to the left gives you the function g(x)=\sqrt{x+6}.

    2. Translation of the function g(x)=\sqrt{x+6} 9 units up gives you the function A(x)=\sqrt{x+6}+9.

    The domain of the function A(x) is [-6,\infty), then the range of the function A(x) is [9,\infty).

    Answer: [9,\infty).

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