A scientist is developing a parabolic object that is made up of mirrors and uses the sun's rays to focus heat on one particular location. To create a prototype of this object, she graphs a parabola on a coordinate plane that has a focus of (3,2) and a directrix of y=1. This parabola can be represented by the equation (x−3)^2 = a(y−1.5).

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y > 2x + 3y is less than negative 3 over 2 times x minus 4part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points)part b: is the point (â’4, 6) included in the solution area for the system? justify your answer mathematically. (4 points)