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Rewrite ^3 sqrt 27x-81-5 to make it easy to graph a translation. Describe the graph.

Melissa Norris

in Mathematics

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Theresa Perry on August 10, 2018

In first place we have to rewrite this function.In place of :^3 sqrt ( ... ), we can write : (...)^(1/3).f ( x ) = ( 27 x - 81 ) ^(1/3) - 5 = ( 27 * ( x - 3 ) ) ^(1/3) - 5 = = 3 * ( x - 3 )^(1/3) - 5 And this makes it easy to graph a translation.The parents of the function is y = x^(1/3). The zero of this function is ( 0, 0 ).It is then stretched vertically by a factor of 2 and translation: 3 units right and 5 units down.


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