Find the vertex and intercepts for each parabola. Sketch the graph.

g(x)=x(2)+x-6

I assume your (2) is supposed to be an exponent.

g(x) = x^2 + x + 6 can also be written
x^2 + x + 1/4 + 23/4
= (x + 1/2)^2 + 23/4

The lowest value of g(x) is 23/4 and occurs at x = -1/2. That is the vertex.

Call g(x) y and plot its value along the y axis. Choose several values of x, solve for y each time, and plot the (x,y) combinations. We can't do graphs for you.