Answer
g(x)=-|x-5|+1
Work Step by Step
First f(x) is shifted 5 units to the right so we must subtract 5 from x to get:
g(x)=|x-5|
Then f(x) is reflected across the x-axis so we must multiply the function by -1 to get:
g(x)=-|x-5|
Finally f(x) is shifted upward by 1 unit so we must add 1 to the function to get:
g(x)=-|x-5|+1
