Answer with explanation:
We are given a quadratic equation as:
[tex]y=\dfrac{3}{2}x^2-6x[/tex]
We know that the x-intercept of the graph are the points where y=0
i.e.
[tex]\dfrac{3}{2}x^2-6x=0[/tex]
i.e.
[tex]3x^2-12x=0[/tex]
i.e.
[tex]3x(x-4)=0[/tex]
i.e. x=0 or x=4
Hence, the only graph which satisfy the x-intercept of the given quadratic equation is attached to the answer.
