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(x−r)(x−s) r=−4 s=2     −8=a⋅ (−2−r)⋅ (−2−s) −8=a⋅ (−2−(−4))⋅ (−2−2)  8a=8  a=1
s=2  f(x)=(x+4)(x−2)s=2 \ \\ \ \\ f(x)=(x+4)(x-2)

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