Question

I need help with 13

Answer 1

9514 1404 393

Answer:

  g(x) = (x -3)² -6

Step-by-step explanation:

You know that a function f(x) is translated h units to the right when x is replaced by x-h.

  g(x) = f(x-h) . . . . . translated h units right

You also know that a function f(x) is translated k units up when k is added to the function value.

  g(x) = f(x) +k . . . . . translated k units up

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Here, we want to translate f(x) 3 units right and 6 units down. Using the above relations, we will get ...

  g(x) = f(x -3) -6

Using the given definition of f(x), this becomes ...

  g(x) = (x -3)² -6