Question

Which of the graphs below would result if you made the leading term of the

following function negative?
F(x) = x^3 + 3x^2

Answer 1

D graph D

Explanation:

Answer 2

D

Explanation:

Cubic equation: an algebraic equation of degree three and of the form

`ax^3 + bx^2 + cx + d = 0`, where a, b and c are the coefficients and d is the constant.

If the leading coefficient
`a` of a cubic equation is positive, the curve begins in quadrant III and ends in quadrant I

If the leading coefficient
`a` of a cubic equation is negative, the curve begins in quadrant II and ends in quadrant IV

For information

Graph A = cubic function with positive leading coefficient

Graph B = quadratic function with positive leading coefficient

Graph C = quadratic function with negative leading coefficient

Graph D = cubic function with negative leading coefficient

Therefore, if you made the leading coefficient of
`f(x)=x^3+3x^2` negative, it would be graph D.