The graphs with negative leading coefficients are the green graph and the purple graph.
When do we have negative leading coefficients?
For any polynomial, we define the leading coefficient as the coefficient that multiplies the term with the larger exponent.
If the leading coefficient is negative, we will see that the end behavior as x increases is that the function decreases.
So we have:
x⇒∞, f(x) ⇒-∞
The graphs where we see this are:
- Green one (we can see that the parabola opens downwards).
- Purple one (you can see that as x increases, the function decreases).
The other two functions have positive leading coefficients.
If you want to learn more about leading coefficients:
https://brainly.com/question/99237
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