Question

PLEASE HELP ME!

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

A) g(x)=3|x+3|−2
B) g(x)=3|x+1|−4
C) g(x)=3|x−1|−2
D) g(x)=3|x−2|−2

Answer 1

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

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.

Answer 2

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