Answer with explanation:
We are given a quadratic equation as:
![y=(3)/(2)x^2-6x](https://img.qammunity.org/2019/formulas/mathematics/middle-school/onq8fi5u9e8boau6wmd73i7fg887wshh6g.png)
We know that the x-intercept of the graph are the points where y=0
i.e.
![(3)/(2)x^2-6x=0](https://img.qammunity.org/2019/formulas/mathematics/middle-school/m5oaahyic51ajiza57xrjszmolzocqpq6e.png)
i.e.
![3x^2-12x=0](https://img.qammunity.org/2019/formulas/mathematics/middle-school/k9o1k526bkl58my3ewgz0rik1spbzmav2r.png)
i.e.
![3x(x-4)=0](https://img.qammunity.org/2019/formulas/mathematics/middle-school/1t8ww9hb0z44w456j43e54eshqykqq1ge6.png)
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.