The graph, of quadratic function f has x-intercepts of (-7,0) and (-4,0).

Which equation could represent function f?

A. f (x) = (x-7) (x-4)

B. f (x) = 2 (x+7) (x-4)

C. f (x) = - 3 (x+7) (x+4)

D. f (x) = - 1/2 (x-7) (x+4)

C. f (x) = -3 (x+7) (x+4)

Step-by-step explanation:

x-intercept means the value of x where the functions touches the x axis.

The function touches x axis at two places, x=-7 and x=-4 ie. both - 7 and - 4 are the roots of the equation.

And the terms (x+7) and (x+4) are the factors of the function f (x),

Only one such case exists where (x+7) and (x+4) are there as factors, ie. Option C.

Therefore, C.-3 (x+7) (x+4).