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

1 answer

To make it easy to graph using a translation, we can rewrite the equation as 3√27(x - 3) - 5.

Describing the graph, we have a cube root function that starts at (3, -5) on the x-axis and decreases as x increases. The graph will be a vertical stretch by a factor of 3, and a horizontal translation 3 units to the right. The rate of decrease of the function will be slower compared to the regular cube root function, due to the factor of 27 inside the radical.