Answer:
Statement 1
The graph has a minimum.
This statement is true. The graph has a minimum at x = -1 that is f(-1) = -9.
Statement 2
The graph has a maximum.
The statement is false. As there is no downward curve nor a rigid endpoint but the graph is continuous in upward direction.
Statement 3
The graph has zeros of -4 and 2.
The statement is true because f(-4) = 0 and f(2) = 0.
Statement 4
The vertex is located at (-1, -9).
The statement is true as apparent in the graph.
Statement 5
The solution of the quadratic function represented by the graph is (-1, -9).
The statement is false. Solution of the graph is at the point where f(x) becomes zero. At (-1,-9), f(x) = -9. Hence solution is not at point (-1,-9).
Statement 6
The y-intercept of the graph is (0, -8).
The statement is true. y-intercept of a graph is where the graph intercept the y-axis which means x = 0. As x = 0 at (0, -8), it is the y-intercept of the graph.