Question

Plz help me with this

Answer 1

The third and last one.

Explanation:

First, by looking at the graph you can tell that the parabola peaks where x = 0.5, not 4.5, so this one is incorrect.

The second one is incorrect, because the value of the g(x) at 0 is 9, but he function is less at other values such as when x is -3 and the g(x) is 0.

The maximum value of the g(x) is 9. We can tell this because points with an equal difference of x values away from x = 0 (where g(x) = 9), also have the same y values. Because 9 is twice of 4.5, and 4.5 is the maximum value of the f(x), the third one is correct.

Lastly, The last one is true, because quadratic functions only have a minimum or a maximum value and we already know that both of these functions have a maximum value.

Answer 2

Only the last two options are true.

The first one is false, because 4.5 is the value of the maximum of f(x), not the point where it is reached.

The second one is false, because g(x) has a maximum of 9, so it is a downward-facing parabola (just like f(x)), so it doesn't have a minimum.

The third one is true, because the maximum value of f(x) is 4.5, and the maximum value of g(x) is 9, which is twice the maximum of f(x)

The last one is false (see point 2).