Find the following

f (x) = x^2 - 4x - 12

A) f (a+2)

B) f (a+h)

(A) f (a + 2) = a² - 16

substitute x = a + 2 into f (x)

f (a + 2) = (a + 2) ² - 4 (a + 2) - 12

= a² + 4a + 4 - 4a - 8 - 12

= a² - 16

(B) f (a + h) = a² + 2ah + h² - 4a - 4h - 12

substitute x = a + h into f (x)

f (a + h) = a² + 2ah + h² - 4a - 4h - 12