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Answer:
3rd option
Step-by-step explanation:
Given the x- intercepts are x = - 3 and x = 5then the corresponding factors are
(x - (- 3)) and (x - 5) , that is (x + 3) and (x - 5) , then
f(x) = a(x + 3)(x - 5) ← a is a multiplier
To find a substitute (1, 8) into the equation
8 = a(1 + 3)(1 - 5) = a(4)(- 4) = - 16a ( divide both sides by - 16 )
- 0.5 = a
f(x) = - 0.5(x + 3)(x - 5)