What would be the standard for of the quadratic equation ?

The standard form of the quadratic equation is: .
To find the standard form from our table, we are going to find the constant term, , first. To do that we are going to look for the value of in or table in which . From our table we can infer that when  , so .
So now we have: 

Next, to find  and  we are going to use the points (1,2) and (3,0) from our table to create a system of equations:
- Using the point (1,2)
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equation (1)
- Using the point (3,0):
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equation (2)

Now we can solve our system of equations:
From equation (1)

equation (3)

Replacing equation (3) in equation (2)






equation (4)

Replacing equation (4) in equation (3)




Putting all together:
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We can conclude that the standard form of the quadratic equation from our table is: