What are the characteristics of the function $f(x)=-(x+4)^{5}$ ? A. It is a reflection and a translation to the left of the parent function. B. It has 4 zeros and at most 5 relative maximums or minimums. C. The left end of the graph of the function goes down, and the right end goes up. D. It is a vertical stretch and a translation to the left of the parent function. E. The left end of the graph of the function goes up, and the right end goes down. F. It has 5 zeros and at most 4 relative maximums or minimums.

Step 1 ：The function \(f(x)=-(x+4)^{5}\) is a polynomial function of degree 5.

Step 2 ：The negative sign in front of the function indicates a reflection over the x-axis.

Step 3 ：The term \((x+4)\) indicates a shift 4 units to the left.

Step 4 ：The degree of the polynomial is odd, so the ends of the graph go in opposite directions.

Step 5 ：Since the leading coefficient is negative, the right end of the graph goes down and the left end goes up.

Step 6 ：The function has only one zero at \(x=-4\).

Step 7 ：There are no relative maximums or minimums because the function is strictly decreasing for \(x<-4\) and strictly increasing for \(x>-4\).

Step 8 ：\(\boxed{\text{The correct characteristics of the function } f(x)=-(x+4)^{5} \text{ are:}}\)

Step 9 ：\(\boxed{\text{A. It is a reflection and a translation to the left of the parent function.}}\)

Step 10 ：\(\boxed{\text{C. The left end of the graph of the function goes down, and the right end goes up.}}\)

Step 11 ：\(\boxed{\text{E. The left end of the graph of the function goes up, and the right end goes down.}}\)