Final answer:
To find the zeros of the function (x + 2)² - 64, we solve it by setting f(x) = 0 and then using factoring or the quadratic formula to find x. The zeros of the function are x = -10 and x = -6.
Step-by-step explanation:
The function is given as f(x) = (x + 2)² - 64. To find the zeros of the function, we set f(x) = 0 and solve for x.
Therefore, (x + 2)² - 64 = 0. Expanding the equation gives x² + 4x - 60 = 0. We can solve this quadratic equation by factoring or using the quadratic formula. The factors of -60 that add up to 4 are 10 and -6.
So, the zeros of the function are x = -10 and x = -6.
Learn more about Finding zeros of a quadratic function