What kind of transformation converts the graph of f(x)=4(x+7)2–2 into the graph of g(x)=4(x+1)2–4?translation 6 units left and 2 units downtranslation 6 units right and 2 units downtranslation 2 units right and 6 units uptranslation 2 units right and 6 units downSubmit
Question
What kind of transformation converts the graph of f(x)=4(x+7)2–2 into the graph of g(x)=4(x+1)2–4?translation 6 units left and 2 units downtranslation 6 units right and 2 units downtranslation 2 units right and 6 units uptranslation 2 units right and 6 units downSubmit
Solution
The transformation that converts the graph of f(x)=4(x+7)²–2 into the graph of g(x)=4(x+1)²–4 is a translation 6 units to the left and 2 units down. This is because the x-value in the brackets has decreased by 6 (from +7 to +1, a leftward shift) and the constant at the end has decreased by 2 (from -2 to -4, a downward shift).
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