All quadratic functions ... then the graph just touches the x-axis without crossing it. If the equation \(ax^2 + bx + c = 0 \) has no solutions then the graph does not cross or touch the x-axis.

To find solutions from graphs, look for the point where the two graphs cross one another. This is the solution point. For example, the solution for the graphs \(y = x + 1\) and \(x + y = 3\) is ...