Question

Pls help and neatly show work !!

Answer 1

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, ∞ )