Answer
See graph:
(a) $(-4,0)$.
(b) $x=-4$.
(c) $(-\infty,\infty)$.
(d) $[0,\infty)$.
(e) $(-4,\infty)$.
( f ) $(-\infty,-4)$.
Work Step by Step
See graph:
(a) Given $f(x)=(x+4)^2$, we can find its vertex at $(-4,0)$.
(b) The axis can be found as $x=-4$.
(c) The domain can be found as $(-\infty,\infty)$.
(d) The range can be found as $[0,\infty)$.
(e) the largest open interval of the domain over which the function is increasing can be identified as $(-4,\infty)$.
( f ) the largest open interval over which the function is decreasing can be identified as $(-\infty,-4)$.
