Expand the brackets in the following expression and indicate what the graph would look like: y=(5x+1)(2x-3)

While this question is not in the style the examiners would ask, it demonstrates two important principles: how to expand brackets accurately and how to build intuition about the shape of graphs.
Answer: y = 10x^2 -15x +2x -3y = 10x^2 -13x -3
Graph would be a convex quadratic, crossing the y axis at y=-3 and crossing the x axis in two places, -1/5 and 3/2.