Final answer:
To find the zeros of the function f(x) = (x + 2)² - 64, solve the equation (x + 2)² - 64 = 0. The zeros of the function are x = -10 and x = 6.
Step-by-step explanation:
The zeros of a function are the values of x for which f(x) = 0. To find the zeros of the function f(x) = (x + 2)² - 64, we need to solve the equation (x + 2)² - 64 = 0.
Expanding the equation, we get (x + 2)² - 64 = x² + 4x + 4 - 64 = x² + 4x - 60 = 0.
Factoring the quadratic equation, we have (x + 10)(x - 6) = 0. Therefore, the zeros of the function are x = -10 and x = 6.
Learn more about Finding zeros of a quadratic function