Hello there!
To find the zeros or the roots of a function, you just need to set the function equal to 0 then solve for x.
f(x) = (x + 4)² - 9
Set function equal to 0
(x + 4)² - 9 = 0
x² + 8x + 7 = 0
Now we can factor the left side
(x + 1)(x + 7) = 0
Then set factors equal to 0
x + 1 = 0 or x + 7 = 0
x = 0 - 1 or x = 0 - 7
x = -1 or x = -7
Thus,
The zeroes of the function are -1 and -7
Let me know if you have any questions. As always, it is my pleasure to help students like you!
