How do you simplify the following equation to make it easy to graph using a translation?

Question

haleholmes · Answer

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dtan5457 · Answer

Wanna solve for X, right?

haleholmes · Answer

I don't know. It says make it easy to graph with translation.

dtan5457 · Answer

too vague of a wording. do you just want to graph that?

haleholmes · Answer

Sure

anonymous · Answer

I would factor the 27 from both terms in 27x-81. This would give us $$\sqrt[3]{(27)(x-3)}$$
The cube root of 27 is 3. So we would have this:

$$3*\sqrt[3]{(x-3)}$$ Now bring the -5 into the function. So this would be the simplified form I would use.

$$3*\sqrt[3]{x-3}-5$$

So the base function is going to be this:
$$f(x) = \sqrt[3]{x}$$

So looking at the simplified form, start with the base function and move the graph to the right 3 units in the positive x direction. 

Then expand the graph in the negative y and positive y directions by a multiple of three.

Then move the graph down 5 units in the negative y direction.