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What kind of transformation converts the graph of f(x)=9(x+4)2f(x) = 9(x + 4)^2 into the graph of g(x)=9(x+4)2+10g(x) = 9(x + 4)^2 + 10?\newlineChoices:\newline(A) translation 1010 units right\newline(B) translation 1010 units up\newline(C) translation 1010 units left\newline(D) translation 1010 units down

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Q. What kind of transformation converts the graph of f(x)=9(x+4)2f(x) = 9(x + 4)^2 into the graph of g(x)=9(x+4)2+10g(x) = 9(x + 4)^2 + 10?\newlineChoices:\newline(A) translation 1010 units right\newline(B) translation 1010 units up\newline(C) translation 1010 units left\newline(D) translation 1010 units down
  1. Analyze Functions: Analyze the given functions.\newlineWe have f(x)=9(x+4)2f(x) = 9(x + 4)^2 and g(x)=9(x+4)2+10g(x) = 9(x + 4)^2 + 10. \newlineNotice that the only difference between f(x)f(x) and g(x)g(x) is the +10+ 10 at the end of g(x)g(x).
  2. Type of Transformation: Determine the type of transformation.\newlineThe ＂+10+ 10＂ added to the function g(x)g(x) indicates a vertical shift of the graph of f(x)f(x).
  3. Direction of Transformation: Determine the direction of the transformation.\newlineSince we are adding 1010 to the entire function, this means the graph is shifting upwards.
  4. Magnitude of Shift: Determine the magnitude of the transformation. The graph of f(x)f(x) is shifted upwards by 1010 units to become the graph of g(x)g(x).

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