The graph of is shown below. g(x) is a transformation of f(x). How would you write the equation for the function g(x)?

this is the picture of the graphs

http://media.apexlearning.com/Images/201308/27/c0423303-2d4e-4923-afb3-4355436bfe36.jpg

this is the picture of the answer choices
Can someone help?

Question

The graph of  is shown below. g(x) is a transformation of f(x). How would you write the equation for the function g(x)?

this is the picture of the graphs

http://media.apexlearning.com/Images/201308/27/c0423303-2d4e-4923-afb3-4355436bfe36.jpg

this is the picture of the answer choices
Can someone help?

anonymous · Answer

@hartnn can you help me please?

anonymous · Answer

anonymous · Answer

A. g(x)=e^x-1-3
B. g(x)=e^x-5
C. g(x)= 3e^x-1
D. g(x)= e^x-1-8 
these are the answer choices @hartnn

hartnn · Answer

g(x) is shifted down by how many units?

anonymous · Answer

i think its shifted down 2 units, is that correct?

hartnn · Answer

originally the y-intercept was 5,
now it is -3 
so how many units?
5-(-3) = ... ?

anonymous · Answer

8?

anonymous · Answer

is the answer D?

hartnn · Answer

yes,

so g(x) = f(x) - 8 = e^(x-1) +5 -8 = .....?


and no

hartnn · Answer

D is not correct

anonymous · Answer

3?

anonymous · Answer

now im stuck between answer A and C

hartnn · Answer

g(x) = f(x) - 8 = e^(x-1) +5 -8 = e^(x-1) -3

anonymous · Answer

so its A? @hartnn

hartnn · Answer

yes! :)

anonymous · Answer

thank you so much :)

hartnn · Answer

welcome ^_^