Answer:
a. The coordinates of the vertex are (-6, 4)
b. The vertex is a minimum
c. There are 0 real roots
Explanation:
a. The coordinates of the vertex are represented by (h, k) in the vertex form equation: y = a(x-h)^2 + k. Therefore, the coordinates of the vertex are (-6, 4).
b. Since the coefficient value of a is positive, the graph is a minimum.
c. The graph is a minimum with a positive y coordinate for the vertex, which means that there are zero real roots because the graph never intersects the x-axis.