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HELP PLEASE!! TON OF POINTS. RIGHT ANSWERS ONLY REWARDED. MATH GENIUSES?

The parent function is f(x)=2^x+3 −3 and the new function is g(x)=2^x + 2 −1

.

How does the graph change from f(x)
to g(x)

?

Select each correct answer.

The graph is shifted 1 unit right.
The graph is shifted 1 unit left.
The graph is shifted 2 units up.
The graph is shifted 2 units down.

Respuesta :

Answer:

The graph is shifted 1 unit right

The graph is shifted 2 units down

Step-by-step explanation:

We are given

Parent function as

[tex]f(x)=2^{x+3}-3[/tex]

New function as

[tex]g(x)=2^{x+2}-1[/tex]

we can also write as

[tex]g(x)=2^{x+3-1}-3+2[/tex]

We can see that

1 is subtracted to x-value

and 2 is added to y-value

So, f(x) is shifted right by 1 unit

and

f(x) is shifted up by 2 unit


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