Question

Determine whether the graph of y = 3x^2 + 2x − 10 opens up or down and whether it has a maximum or minimum point.

Answer 1

This equation is quadratic. Its graph is a parabola. When the leading coefficient (the 3 here) is positive, the parabola opens up.It will have a well defined low point (minimum), but its high points extend forever (to infinity).