Evaluating expressions

An equation of the line tangent to y=x^3+3x^2+2 at its point of inflection is

You are cycling around europe with friends. you book into a hostel and you ask the owner what the ratio of men to women is currently staying there. there are 24 men and 6 women. what is the ratio of men to women in its simplest form?

The graph of y x3 is translated so that the point (1. 1) is moved to (1, 4). what is the equation of the new graph?