The PDF linked below challenges students to use knowledge of linear and quadratic functions and predict shapes of graphs from the equation. A student must be able to understand intersections of graphs to solve problems. A student must be able to solve two equations graphically and algebraically. A student must be able to draw a linear graph from the equation. A student must use knowledge of quadratic equations to choose a solution strategy to solve the equation.
http://www.insidemathematics.org/common-core-math-tasks/high-school/HS-F-2007%20Graphs2007.pdf