Linear - Quadratic Systems
From Graphical to Algebraic
Topic Index | Algebra2/Trig Index | Regents Exam Prep Center


In our lesson page, we saw the following graphs showing how linear-quadratic systems can result in  three graphical situations.

The equations will intersect in two locations.  Two real solutions. The equations will intersect in one location.  One real solution. The equations will not intersect.
No real solutions.

Examine each of the graphs carefully.

For each graph, write equations to represent both the parabola and the straight line shown.

Solve each system algebraically showing that the graphical answer and the algebraic answer match.