Please help!! Consider the following function: y=3x-x^2/15-8x+x^2. Complete each step to graph the function. Show all work at each step for credit.

1. Find the domain of the function.

2. Simplify the function if possible.

3. Find the x and y intercepts.

4. Find any odd or even symmetry.

5. Find all vertical and horizontal asymptotes.

6. Find the intervals on increase & decrease along with any local max or min points using a sign chart.

7. Find the intervals of concavity along with any inflection points using a sign chart.

8. Sketch the function showing all details.