Question

Which of the following could be an equation of the form y=-x^3+ax^2+bx+c for some real numbers a,b,?

Answer 1

• Bottom left graph

Explanation:

Given function:

• y = -x^3 + ax^2 + bx + c

This is a third degree function with negative leading coefficient.

This is therefore decreasing function and can have one local maximum and one local minimum.

From the given graphs we can see only bottom left one can be a matching one.