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Write a formula for the function obtained when the graph is shifted as described.

Write a formula for the function obtained when the graph is shifted as described.-example-1
User Charon ME
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1 Answer

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The given function is

f(x) = x^3

Recall, if a function, f(x) is shifted c units upwards, the new function would be f(x) + c. This means that if we translate the given function 3 units upwards, the new function would be x^3 + 3

Also, if a function, f(x) is shifted d units to the left, the new function would be

f(x + d). This means that if we translate x^3 + 3 7 units to the left, the new function would be (x + 7)^3 + 3

The function is

f(x) = (x + 7)^3 + 3

User Ravindra Ranwala
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