(6, -70) is not on the graph
Step-by-step explanation:
we have
![y=-3x^{2}+6x-4](/tpl/images/0262/9237/372b4.png)
we know that
If a ordered pair is on the graph of the quadratic equation, then the ordered pair must satisfy the quadratic equation
Verify each case
Substitute the x-coordinate of the ordered pair in the quadratic equation to find the value of y and then compare the results
case 1) (6, -70)
For x=-6
![y=-3(-6)^{2}+6(-6)-4=-148](/tpl/images/0262/9237/00f2a.png)
![-148\neq-70](/tpl/images/0262/9237/f48a9.png)
therefore
the ordered pair is not on the graph
case 2) (4, -28)
For x=4
![y=-3(4)^{2}+6(4)-4=-28](/tpl/images/0262/9237/ec4e2.png)
![-28=-28](/tpl/images/0262/9237/2b9b4.png)
therefore
the ordered pair is on the graph
case 3) (-8,-244)
For x=-8
![y=-3(-8)^{2}+6(-8)-4=-148](/tpl/images/0262/9237/28028.png)
![-244=-244](/tpl/images/0262/9237/08deb.png)
therefore
the ordered pair is on the graph
case 4) (12,-364)
For x=12
![y=-3(12)^{2}+6(12)-4=-148](/tpl/images/0262/9237/4859e.png)
![-364=-364](/tpl/images/0262/9237/d1061.png)
therefore
the ordered pair is on the graph