Hi
4y=2(x+1)^2-1
y = (1/2)(x+1)^2 - 1/4
the vertex form of a parabola,
where(h,k) is the vertex
Pt(-1,-1/4) is the vertex
y-intercept, when x = 0
y = (1/2)*1 - 1/4
y = (1/2) Pt(0,1/4) the y intercept
x-intercept, when y = 0
0 = (1/2)(x+1)^2 - 1/4
1/4 = (1/2)(x+1)^2
2/4 = x^2 + 2x + 1
0 = x^2 + 2x + 1/2


