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Describe the transformation of f(x) = x4 represented by g(x) = (x + 1)4 + 3

User Tamyka
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1 Answer

1 vote

Answer:

Horizontal shift by -1 OR Horizontal shift to the left by 1

Vertical shift by 3 OR Vertical shift up by 3

(both on the left or both on the right)

Explanation:

First, identify what changed from f(x) to g(x), which is the + 1 inside of what's being raised to the 4th and the + 3 outside of it. Inside the parentheses means a horizontal shift to the left if positive and right if negative, while outside the parentheses means a vertical shift upwards if positive and downwards if negative. In this case, we have a +1 and a +3 respectively, giving the answer above. The differences are just matters of teacher preference; the one on the right is more basic while the one on the left is more advanced. If you can remember, do it how your teacher did it in class.

User Erikscandola
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