Function 3

Function f(x)=a(x-r)(x-s) the graph of the function has x- intercept at (-4, 0) and (2, 0) and passes through the point (-2,-8). Find constant a, r, s.

Correct result:

a =  1
r =  -4
s =  2

Solution:

f(x)=a(xr)(xs) r=4 s=2     8=a (2r) (2s) 8=a (2(4)) (22)  8a=8  a=1
s=2  f(x)=(x+4)(x2)s=2 \ \\ \ \\ f(x)=(x+4)(x-2)



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