Need help ASAp!

Question

Use a graphing calculator to find any x-intercepts and turning points for the function f(x) = 2x³ - 13x² + 24x - 9

Apply the function transformation of g(x) = f(x - 2) + 4 to f(x) = x³ - 8. Describe the transformations and find the final form of the function after the transformation.

Answer 1

If you know how to use your graphing calculator this should be straight forward. Perhaps try https://www.desmos.com/calculator first as it is very easy to use and then try to reproduce results on your calculator.

1. x intercepts: (.5, 0); (3, 0). Turning points: (3, 0); (4/3, 125/27)
2. transformation is a translation: to the right 2 units, up 4 units