When asked to determine the equation of a quadratic function going through (4,0) (6,0) and (2,24) in factored form, Kiran makes a mistake. Identify, describe, and correct the mistake you see in Kiran's work.
f (x) = a (x+ 4)(x + 6)
-24=a(2+4)(2+6)
-24 = a (6)(8)
-24 = 48a
a= -1/2