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.in summary, the four answers are: a, c, d, g
3 * x + 8 = 31