The coordinates of the point must satisfy the equation of the function. That means if you plug in the coordinates the equation must be true:
The function becomes: .
This is a cubic function with the domain . The y-values are running from to .
The function has a zero at x = -3 and a second zero at x = 1 where the graph touches the x-axis. Therefore:
y < 0 for x < -3 and y > 0 for x > -3
To draw the function reflect the parts of the graph which are below the x-axis over / at(?) the x-axis:
The graph of g is sketched in red.