Enter your answer and show all the steps that you use to solve this problem in the space provided.

Question

Rewrite 27x−81−−−−−−−√3−5
to make it easy to graph using a translation. Describe the graph.

Answer 1

To make the expression easier to graph using a translation, we can rewrite it as:

27(x - 3) - √3 - 5

This can be graphed as a linear function with the slope of 27 and a y-intercept of -√3 - 5. The translation here is shifting the function 3 units to the right from the standard form of 27x - √3 - 5.

The graph of this function will have a steep slope of 27 and will be shifted 3 units to the right compared to the standard function. The y-intercept will be at y = -√3 - 5.