The Range is the set of y-values that are allowed. The vertex is the bottom of the parabola and is the lower end of the range. Therefore, the range is: [-4, infinity). The -4 is inclusive (note the closed parenthesis on the left).
The x-intercepts are the points at which the parabola crosses the x-axis. Yes, there are x-intercepts. There are two of them. They occur at x = -3 and x = 1.
The y-intercept is the point at which the parabola crosses the y-axis. This occurs at the point (0,-3). Therefore, y = -3.