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What kind of transformation converts the graph of f(x)=10∣x+7∣+2f(x) = 10|x + 7| + 2 into the graph of g(x)=10∣x+7∣+10g(x) = 10|x + 7| + 10?\newlineChoices:\newline(A) translation 88 units up\newline(B) translation 88 units down\newline(C) translation 88 units right\newline(D) translation 88 units left

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Q. What kind of transformation converts the graph of f(x)=10∣x+7∣+2f(x) = 10|x + 7| + 2 into the graph of g(x)=10∣x+7∣+10g(x) = 10|x + 7| + 10?\newlineChoices:\newline(A) translation 88 units up\newline(B) translation 88 units down\newline(C) translation 88 units right\newline(D) translation 88 units left
  1. Compare functions: Compare f(x)f(x) and g(x)g(x) to see the difference.f(x)=10∣x+7∣+2f(x) = 10|x + 7| + 2g(x)=10∣x+7∣+10g(x) = 10|x + 7| + 10The only difference is the constant term at the end.
  2. Determine change: Determine the change in the constant term.\newlineOriginal constant term in f(x)f(x): +2+2\newlineNew constant term in g(x)g(x): +10+10\newlineChange: 10−2=810 - 2 = 8
  3. Identify transformation direction: Identify the direction of the transformation. Since the change is in the constant term and it's positive, the graph moves up.
  4. Match with choices: Match the transformation with the given choices.\newlineThe graph moves 88 units up.\newlineCorrect choice: (A) translation 88 units up

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