In order to trace the graph of the given curves in Algebra, we need to find the points of intersection. To solve this, we can use a free math problem solver that provides step-by-step explanations for problems in algebra, geometry, trigonometry, calculus, and statistics. Another option is to use a free step-by-step math calculator to graph quadratic equations, system of equations, or linear equations. For example, we can use the function -x² to predict the school population in 2018 or find the point of intersection for the equations x = y +6 and 2x-y=13. We can also solve the equation 2x3+8x2−2x−8=0 by factoring 2 out of the left side. Additionally, we can find the x-coordinate of the vertex (3, 0) and (5, 0) by evaluating the x-intercepts of the graph of y = 2x²- 16x + 30.