Answer:
(-1/2, -13/4)
Explanation:
Start with y = 4x^2+4x-12. Put this into the form y = a(x-h)^2 + k, where (h, k) represents the vertex.
Factor 4 out of this expression, obtaining: y = 4(x^2 + x - 3).
Next, complete the square of the quantity inside parentheses:
y = 4[ x^2 + x + 1/4 - 1/4 - 3 ], or
y = 4[ (x + 1/2)^2 - 13/4 ]
We can now conclude that the vertex is (-1/2, -13/4).