Thank you for the opportunity to help you with your question!

is a parabola and its graph opens upward from the vertex . The vertex can be found at . In this case, a = 3 and b = -1 which gives . The minimum value of the polynomial is . The graph is shown at right using the WINDOW (-5, 5) X (-2, 16). Of course this vertex could also be found using the calculator.

Please let me know if you need any clarification. I'm always happy to answer your questions.