Question

If f(x) and g(x) are quadratic functions but (f+g)(x) produces true graph below, hutch statement must be true ?

Answer 1

Answer:

A. the leading coefficients of f (x) and g (x) are opposites

Step-by-step explanation:

A. the leading coefficients of f (x) and g (x) are opposites

A quadratic function in its generic form is:

 f (x) = ax2 + bx + c

 g (x) = dx2 + ex + f

 The sum of the functions is:

 (f + g) (x) = (a + d) x2 + (b + e) x + (c + f)

 For the function to be linear necessarily:

 a = -d