Answer:
see explanation
Step-by-step explanation:
The zeros of the graph are x = - 4 and x = 2 , then the factors are
(x + 4)(x - 2) and
y = a(x + 4)(x - 2) ← a is a multiplier
To find a use any other point on the graph and substitute into the equation
Using (0, - 8 ) , then
- 8 = a(4)(- 2) = - 8a ( divide both sides by - 8 )
1 = a
y = (x + 4)(x - 2) = x² + 2x - 8
with b = 2 and c = - 8
The graph is increasing from the turning point ( vertex) to the right
vertex = (- 1, - 9 )
Increasing in the interval [- 1, ∞ )
