Answer:
y = x² + 6x + 8
Step-by-step explanation:
The zeros ( x- intercepts ) of the graph are x = - 4 and x = - 2, thus
the factors are (x + 4) and (x + 2) and the function is the product of the factors.
y = a(x + 4)(x + 2) ← a is a multiplier
To find a substitute (0, 8 ) the y- intercept into the equation
8 = a(0 + 4)(0 + 2) = a(4)(2) = 8a ( divide both sides by 8 )
a = 1, thus
y = (x + 4)(x + 2) ← expand using FOIL
= x² + 6x + 8
