What are the x intercept of the graph of y -3 x2 4x?

To find the x-intercepts of the graph of the equation ( y = -3x^2 + 4x ), set ( y ) to zero:

[ 0 = -3x^2 + 4x. ]

Factoring gives:

[ 0 = x(-3x + 4). ]

This results in two solutions: ( x = 0 ) and ( -3x + 4 = 0 ) (which gives ( x = \frac{4}{3} )). Therefore, the x-intercepts are ( x = 0 ) and ( x = \frac{4}{3} ).