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What kind of transformation converts the graph of f(x)=5(x+2)2f(x) = 5(x + 2)^2 into the graph of g(x)=5(x+2)2+10g(x) = 5(x + 2)^2 + 10?\newlineChoices:\newline(A) translation 1010 units down\newline(B) translation 1010 units up\newline(C) translation 1010 units right\newline(D) translation 1010 units left

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Q. What kind of transformation converts the graph of f(x)=5(x+2)2f(x) = 5(x + 2)^2 into the graph of g(x)=5(x+2)2+10g(x) = 5(x + 2)^2 + 10?\newlineChoices:\newline(A) translation 1010 units down\newline(B) translation 1010 units up\newline(C) translation 1010 units right\newline(D) translation 1010 units left
  1. Compare functions: Compare f(x)f(x) and g(x)g(x) to see the difference.f(x)=5(x+2)2f(x) = 5(x + 2)^2g(x)=5(x+2)2+10g(x) = 5(x + 2)^2 + 10The only difference is the +10+ 10 on g(x)g(x).
  2. Determine transformation type: Determine the type of transformation.\newlineThe ＂+10＂＂+ 10＂ is outside the squared term, so it's a vertical shift.
  3. Figure out shift direction: Figure out the direction of the shift.\newlineSince it's +10+ 10, the graph moves up.
  4. Calculate shift amount: Calculate the amount of the shift.\newlineThe graph moves 1010 units up.

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