Question

rewrite ^3 sqrt (27x-81) -5 to make it easy to graph using a translation. Describe the graph

Answer 1

\[
\sqrt[3]{27x-81}-5
\]

Answer 2

Fill, factor the \(27\) \[
\sqrt[3]{27(x-3)}-5
\]Remember that \(3^3=27\) \[
3\sqrt[3]{x-3}-5
\]

Answer 3

If you think about the graph of \(f(x)=\sqrt[3]{x}\)... this is just \[
3f(x-3)-5
\]Meaning that it is shifted to the right by 3, shifted down by 5, and stretched by a factor of \(3\) vertically