You can put this solution on YOUR website! Equate the function to 0 and solve for x
At all those points, function intercepts x-axis
y= -4x^2 - 4x - 6 = 0
=> 4x^2 + 4x + 6 = 0
=> 2x^2 + 2x + 3 = 0
=> This equation has no real solution since discriminant<0
Hence no x-intercept