Question

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.

Answer 1

The graph is shifted 1 unit right

The graph is shifted 2 units down

Explanation:

We are given

Parent function as

`f(x)=2^(x+3)-3`

New function as

`g(x)=2^(x+2)-1`

we can also write as

`g(x)=2^(x+3<strong>-1</strong>)-3<strong>+2</strong>`

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