Can I get help on this problem? I dont really know how to even get started...

A convenient way to draw curves is to select a set of points and slopes on the curve, and find a polynomial whose graph satisfies these conditions. Design the shape of a ski jump with the following specifications. The jump starts at a height of y = 100 ft and finishes at a height of 10 ft. From the start at x = 0 to the launch point, the jump extends a horizontal distance of 120 ft. A skier using the jump will begin horizontally and will fly off the end at a 30degree angle from the horizontal. Develop and solve a set of linear equations for the four coefficients of a cubic polynomial y = a_3x^3 + a_2x^2 + a_1x + a_0 for the side view of the jump. Plot the ski jump profile and examine its slope for any undesired behavior. Its slope is given by s = 3a_3x^2 + 2a_2x + a_1. When you plot your ski jump it should look something like this, although the shape on your plot may be distorted by unequal axis scales. Label the axes, title, and SAVE your plot as skiJump.jpg