Question

PLEASE HELP ME!

Answer 1

to shift a graph to the left, we add inside the function

h(x)=3|x+1|−2

g(x)=3|x+1+2|−2

g(x)=3|x+3|−2

Answer 2

Answer:

Option A - $g(x)=3|x+3|-2$

Step-by-step explanation:

To find : Which function represents the graph of $h(x)=3|x+1|-2$ after it is translated 2 units to the left?

Solution :

Translating the graph to the left represent as

f(x) → f(x+a) i.e. a unit towards left

The graph function is $h(x)=3|x+1|-2$

Translated 2 units to the left means,

$g(x)=3|x+1+2|-2$

$g(x)=3|x+3|-2$

Therefore, option A is correct.