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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

Respuesta :

wegnerkolmp2741o

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:

Option A - [tex]g(x)=3|x+3|-2[/tex]

Step-by-step explanation:

To find : Which function represents the graph of [tex]h(x)=3|x+1|-2[/tex] 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 [tex]h(x)=3|x+1|-2[/tex]

Translated 2 units to the left means,

[tex]g(x)=3|x+1+2|-2[/tex]

[tex]g(x)=3|x+3|-2[/tex]

Therefore, option A is correct.

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