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Rewrite 3√(27x-81)-5
to make it easy to graph using a translation. Describe the graph.
To rewrite the expression 3√(27x-81)-5 to make it easy to graph using a translation, we can start by factoring out 27 from the expression inside the square root:
3√(27x-81)-5 = 3√(27(x-3))-5
Now, let's apply a translation by adding 3 to x inside the square root:
3√(27(x-3+3))-5 = 3√(27(x))-5
Simplifying further:
3√(27x)-5
Now, we have a form that is easy to graph. The graph of y = 3√(27x)-5 is a square root function translated down 5 units. The graph starts at (0, -5) and continues upward as the value of x increases. The graph will approach infinity as x approaches infinity.