What transformation has changed the parent function f(x) = 3(2)x to its new appearance shown in the graph below?

f(x) + 2
f(x) − 2
f(x + 2)
f(x − 2)

Question

What transformation has changed the parent function f(x) = 3(2)x to its new appearance shown in the graph below?

 f(x) + 2
 f(x) − 2
 f(x + 2)
 f(x − 2)

destinykiara99 · Answer

attachment

sweetburger · Answer

is the original function
$$f(x)=3(2)^x$$?

destinykiara99 · Answer

Yes, it is

sweetburger · Answer

Here is a graph of f(x)=3(2)^x https://gyazo.com/a399f870943bcb991701986419b06953 how does this graph change from the original graph you posted?

destinykiara99 · Answer

It's shifted up two spaces

destinykiara99 · Answer

@sweetburger

destinykiara99 · Answer

I still don't understand what the answer is???? @sweetburger

welshfella · Answer

compare the 2 graphs - look at the values of y where they cit the y axis

welshfella · Answer

* cut

welshfella · Answer

3(2)^x  intercepts y axis at y = 3

destinykiara99 · Answer

I did that, it's shifted up two units. I don't understand how, with my answer choices I get the function/formula

welshfella · Answer

not shifted up  -  its shifted down

welshfella · Answer

3--- >  1

welshfella · Answer

so f(x) has  shifted down 2 units

destinykiara99 · Answer

okay so would it be f(x)-2 ???

welshfella · Answer

yes

welshfella · Answer

the whole graph moves down 2 units

destinykiara99 · Answer

Thank you so much, I have a few other questions. Would you mind helping? I will post them seperately