Question 435824
  <pre><font face = "Tohoma" size = 4 color = "indigo"><b>
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, {{{f(x)=a(x-h)^2 +k}}} where(h,k) is the vertex

{{{drawing(300,300,   -6, 6, -6, 6,  blue(line(-.5,6,-.5,-6))  , grid(1),
circle(-.5, -4,0.3),
graph( 300, 300, -6, 6, -6, 6,0, 4(x+1/2)^2 - 4
))}}}