Which of the following statements are true about the graph select all that apply

The correct options are

(a) The graph has a minimum.

(c) The graph has zeroes of -4 and 2.

(d) The vertex is located at (-1, -9).

(g) The y-intercept of the graph is (0, -8).

Step-by-step explanation:  We are to select the correct statements about the given graph.

From the graph, we can see that the curve is opened up right, so there is no maximum point and the minimum occurs at the point (-1, -9).

So, option (a) is correct, but option (b) is incorrect.

The value of 'y' becomes zero at x= -4 and x = 2. So, -4 and 2 are the zeroes of the graph. Option (c) is correct.

The vertex is located at the point (-1, -9), so option (d) is also correct.

The y-intercept of the graph will be the points at which x = 0. The only value value of 'y' when x = 0 is -8.

So, the y-intercept of the graph is (0, -8). Option (e) is incorrect and option (g) is correct.

Also, the solution of the quadratic equation are the values of 'x' where 'y' becomes zero. So, the solution occurs at the points (-4, 0) and (2, 0). Option (f) is incorrect.

Thus, the correct statements are

(a) The graph has a minimum.

(c) The graph has zeroes of -4 and 2.

(d) The vertex is located at (-1, -9).

(g) The y-intercept of the graph is (0, -8).