Answer:
1st option
Step-by-step explanation:
From the graph the zeros are x = - 3 and x = 1 , then the corresponding factors are
(x + 3) and (x - 1) , so
y = a(x + 3)(x - 1) ← a is a multiplier
To find a substitute a point on the graph into the equation
Using (0, - 1.5 ) , then
- 1.5 = a(3)(- 1) = - 3a ( divide both sides by - 3 )
0.5 = a
Then
f(x) = 0.5(x + 3)(x - 1)