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How do you identify the transformation of #h(x)=(x-2)^3+2#?

Answer 1

Anna Allen

translation of #h(x)=x^3" by the vector "((2),(2))#

In general

#f(x+a)+b" is a translation of "f(x) " by the vector "((-a),(b))#

#h(x)=(h-2)^3+2 " is a translation of the graph" #

# h(x)=x^3 " by the vector " "((2),(2))#

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Answer 2

Serenity Jones

The transformation of the function h(x) = (x - 2)^3 + 2 involves a translation and a vertical stretch. Specifically:

Translation: The function is shifted horizontally to the right by 2 units.
Vertical Stretch: The function is stretched vertically by a factor of 1.

Therefore, the transformation of the function h(x) = (x - 2)^3 + 2 includes a translation of 2 units to the right and a vertical stretch of 1.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.