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12 February, 17:06

Which of the following answer choices describes all the transformation found in the cubic function f (x) = - (x+2) 3-5

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  1. 12 February, 20:04
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    The cubic function is f (x) = x^3

    You need to perform three transformations to the cubic function to obtain

    f (x) = - (x + 2) ^3 - 5.

    Those transfformations are:

    1) Shift f (x) = x^3, 2 units leftward to obtain f (x) = (x + 2) ^3

    2) reflect f (x) = (x + 2) ^3 across the x-axis to obtain f (x) = - (x + 2) ^3

    3) shift f (x) = - (x + 2) ^3, 5 units downward to obtain f (x) = - (x + 2) ^3 - 5
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