Question 884089
For the given function, (a) determine whether the graph opens upward or downward, (b) find the axis of symmetry, (c) find the vertex, (d) find the y-intercept, and (e) graph the function. 
Equation: g(x) = 3x² + 2x – 8
***
y=3x^2+2x-8
complete the square:
y=3(x^2+(2/3)x+1/9)-1/3-8
y=3(x+1/3)^2-25/3
parabola opens upward
vertex: (-1/3,-25/3)
axis of symmetry: x=-1/3
y-intercept: (0,-8)
See graph below:
{{{ graph( 300, 200, -6, 5, -10, 10, 3x^2+2x-8) }}}