Sketch the graph of a quadratic function f(x) = ax^2 + bx + c that has no real zeros. How does this relate to the solutions of the related equation ax^2 + bx + c = 0?
The graph of a quadratic function f(x) = ax^2 + bx + c that has no real zeros would be a parabola that opens either up or down, depending on the sign of a. This parabola would not intersect the x-axis, meaning that the related equation ax^2 + bx + c = 0 would have no real solutions.
