Help with algebra parent function transformation

The parent function f(x) = |x| is shift three to the left, 1 up, and then reflected over the x-axis. Write the function g(x) that would represent the new function based on the transformations to f(x).
(please explain the steps/work) Ty :)

given a function y = f(x)

if you add a constant k to the function, it moves up
the notation is y = f(x) ---> y = f(x) + k

if you subtract a constant k from the function, it moves down
the notation is y = f(x) ---> y =f(x) - k

to Move left, you must add a constant k to the domain of the function
the notation is y = f(x) ---> y =f(x+k)

to Move right, you must subtract a constant k from the domain of the function
y = f(x) ---> y = f(x-k)

to reflect a function over the x-axis you negate the function
y = f(x) ---> y = - f(x)

to reflect a function over the y-axis you negate the domain
y = f(x) ---> y = f(-x)

so for your parent function

f(x) = |x| is shift three to the left, ---> 3 is ADDED to the domain
f(x+3) = |x+3|

1 up, ---> 1 is added to f(x+3)
f(x+3) + 1 = |x+3| + 1

reflected over the x-axis ---> negate f(x+3) + 1

-[ f(x+3) + 1] = -|x+3| - 1 = g(x)

g(x)= -|x+3|+1

To shift to the left, add 3 INSIDE of the absolute value sign.

To shift up, add 1 OUTSIDE of the absolute value sign.

To reflect over the y-axis, put a negative sign in front of the absolute value sign.