What are the zeros of this function?

f (x) = (x + 4) 2 - 9

Those are the values of x that make f (x) = 0

so

0 = (x+4) ²-9

add 9 to both sides

9 = (x+4) ²

sqrt both sides

remember to get positive and negative roots

+/-3=x+4

minus 4 both sides

+/-3-4=x

3-4=x or - 3-4=x

-1=x or - 7=x

the zeros occur at (-1,0) and at (-7,0)

Set the function equal to zero and solve for x.

x=1/2