Start with

Divide both sides by -3

If the absolute value of a number is 4, that number can either be 4 or -4: we have the two solutions


Answer:
The equation is 
Step-by-step explanation:
Observing the graph
Let

step 1
Find the slope m

step 2
Find the equation of the line into point slope form

with the point
and the slope 
substitute


1.) 31
2.) 35
3.)85
4.) 10
5.)-1
(-5,6) is the vertex.
I did this by using the vertex x coordinate Formula which is -b/2a
So in this case a=3 b=30 c=81
So if put the number in it would be
-30/2(3) = -30/6 = -5
Now that we know the x coordinate of the vertex which is -5. You plug the x of -5 into the quadratic equation to get the y.
3(-5)^2 + 30(-5) + 81=y
Simplify it
75-150+81= Y
Combine the light terms
6=y
So the coordinate points are (-5,6)