Which equation, when graphed, has x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, - 16) ?

f (x) = - (x - 2) (x - 4)

f (x) = - (x + 2) (x + 4)

f (x) = - 2 (x - 2) (x - 4)

f (x) = - 2 (x + 2) (x + 4)

f (x) = - 2 (x - 2) (x - 4)

if x=2 ⇒ f (x) = y=0 ⇒ graph of f (x) intercept x axis in (2,0)

if x=4 ⇒ f (x) = y=0 ⇒ graph of f (x) intercept x axis in (4,0)

if x=0 ⇒f (x) = - 2 * (-2) * (-4) = - 16 ⇒ graph of f (x) intercept y axis in (0, - 16)

⇒ f (x) = - 2 (x - 2) (x - 4) is the answer