I'll go through the list of possible answers. Anything marked as true I'll highlight in bold
Choice A) The graph has a minimum. This is true. This is because there is a lowest point at the vertex (-1,-9)
Choice B) The graph has a maximum. False. A parabola can have a min or a max but not both at the same time. Choice A is true, so this contradicts choice B. The graph goes on forever upward so there is no highest point.
Choice C) The graph has zeros at -4 and 2. This is true. The term "zeros" may be confusing. I like to think of them as x intercepts or roots. This is where the graph crosses or touches the x axis. They solve the equation f(x) = 0.
Choice D) The vertex is located at (-1,-9). This is true. This is the lowest point of the graph. It's also where the axis of symmetry is located.
Choice E) The graph has y intercepts at (-4,0) and (2,0). This is false. The parabola only crosses the y axis one time and it is at the location (0,-8) which is the y intercept. We can also say "the y intercept is -8". See choice G below. Note that any function will have only y intercept. If it has more than one y intercept, then it won't be a function anymore because it fails the vertical line test.
Choice F) The solution of the parabola is (-1,-9). False. A solution is another term for root or x intercept. It's where the graph crosses the x axis. In other words, it's the set of x values that make f(x) = 0 true. In this case, x = -4 and x = 2 do the trick. The vertex is not considered a solution point unless the vertex is on the x axis.
Choice G) The y intercept is (0,-8). True. The graph crosses the y axis here. See choice E above.
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In summary, the four answers are: A, C, D, G
