3x^2+3x+2y=0 complete the square and reduce to one standard form y-b=a(x-a)^2 or x-a=a(y-b)^2

The required form is

Step-by-step explanation:

Given : Function

To find : Complete the square and reduce to one standard form ?

Solution :

Converting the functio into given standard form,

Taking y one side,

Divide by 3 both side,

Applying completing the square i.e. add half square both side,

Divide by both side,

This form relates to  

Where,

Therefore, The required form is

step-by-step explanation:

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