Answer:
The answer is B.
Step-by-step explanation:
The formula is;
\(g(x)=4-(x-6)^2\)
Maximum value of the function is where the x value makes (x-6)^2 equals to 0. Then;
\((x-6)^2=0\\x=6\)
Breaking point of the function is x=6. When we put 6 instead of x, the function will go to:
\(g(6)=4-(6-6)^2\\g(6)=4\)
When we put x=4, the function will go to;
\(g(4)=4-(4-6)^2=4-2^2=0\)
Then the solution is increasing: x < 6; decreasing: x > 6
Also check the graph at the attachment.
