Question

Let f(x)=2x and g(x)=2x+4+8 .

Which transformations are needed to transform the graph of f(x) to the graph of g(x) ?

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Answer 1

I think the answer is horizontal translation of 4 units left and a vertical translation of 8 units up. 

Answer 2

Horizontal translation of 4 units left

vertical translation of 8 units up

Explanation:

f(x)= 2^x and
`g(x)= 2^(x+4) +8`

To get the graph of g(X) from f(x) we do transformations

f(x)-----> f(x)+a, when any number added at the end of f(x) then there will be a vertical translation by 'a' units (up or down)

f(x)-----> f(x+a), when any number added with x inside f(x) then there will be a horizontal translation by 'a' units (left or right)

f(x)= 2^x

f(x) = 2^(x+4) , 4 is added with x

So Horizontal translation of 4 units left

Now we add 8 at the end to get g(x)

so vertical translation of 8 units up