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What kind of transformation converts the graph of f(x)=4∣x+2∣+8f(x) = 4|x + 2| + 8 into the graph of g(x)=4∣x+2∣+5g(x) = 4|x + 2| + 5?\newlineChoices:\newline(A) translation 33 units left\newline(B) translation 33 units right\newline(C) translation 33 units down\newline(D) translation 33 units up

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Q. What kind of transformation converts the graph of f(x)=4∣x+2∣+8f(x) = 4|x + 2| + 8 into the graph of g(x)=4∣x+2∣+5g(x) = 4|x + 2| + 5?\newlineChoices:\newline(A) translation 33 units left\newline(B) translation 33 units right\newline(C) translation 33 units down\newline(D) translation 33 units up
  1. Compare constant terms: Compare the constant terms of f(x)f(x) and g(x)g(x).\newlinef(x)f(x) has +8+8, g(x)g(x) has +5+5.
  2. Calculate difference: Calculate the difference between the constant terms. 8−5=38 - 5 = 3.
  3. Determine shift direction: Determine the direction of the shift. Since the constant term decreased, the graph shifts down.
  4. Identify transformation type: Identify the type of transformation.\newlineThe graph shifts 33 units down.

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