Answer:
The vertex is at (-1/2, -4 1/2)
Step-by-step explanation:
y = 2x^2 +2x - 4
y = 2( x^2 +x ) -4
We want to complete the square
b=1 take (b/2)^2 = (1/2)^2 = 1/4 There is a factor of 2 on the outside of the parentheses so we are really adding 2/4 or 1/2, so we need to subtract 1/2
y = 2( x^2 +x +1/4) - 1/2 -4
y = 2 ( x + 1/2)^2 - 4 1/2
This is in vertex form
y = a(x-h)^2 +k
where (h,k) is the vertex
h= -1/2 and k = -4 1/2
The vertex is at (-1/2, -4 1/2)
