Answer: The graph of the function g(x) = 6x^2 is a parabola that opens upwards. The coefficient 6 in front of the x^2 term makes the graph narrower than the standard parabola y = x^2.
The vertex of the parabola is at the origin (0,0) and the axis of symmetry is the y-axis. As x moves away from the origin, y increases rapidly, making the curve steep.
Explanation: