We are starting the parent function f(x)=|x|

STEP 1: Shift the graph by 3 units to the left, to get y=|x+3|

STEP 2: Reflect the graph across y-axis, to get y=|-x+3|

STEP 3: Shift the graph by 9 units upwards, to get y=|-x+3|+9, which is the required function g(x)

STEP 1: Shift the graph by 3 units to the left, to get y=|x+3|

STEP 2: Reflect the graph across y-axis, to get y=|-x+3|

STEP 3: Shift the graph by 9 units upwards, to get y=|-x+3|+9, which is the required function g(x)