Hi

Completing the square for the following:

4x^2+4x=3

4[(x+1/2)^2 - 1/4] = 3

 4(x+1/2)^2 = 4

   x+1/2 = ± 1

x = -1/2 ± 1

   x = 1/2 and x = -3/2

 f(x) =  4(x+1/2)^2 - 4



Using the vertex form of a parabola,  where(h,k) is the vertex





 

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