Question

Let f(x)=4x and g(x)=(4)x−1+2 . Which transformations are needed to transform the graph of f(x) to the graph of g(x) ? Select each correct answer. horizontal translation 1 unit left vertical translation 1 unit up horizontal translation 1 unit right horizontal translation 2 units left vertical translation 2 units up vertical translation 1 unit down

Answer 1

horizontal translation 1 unit right and vertical translation 2 unit up

Explanation:

we are given

`f(x)=4^x`

`g(x)=4^(x-1)+2`

We can see that in place x , we have x-1

So, it is shifted horizontally right side by 1 unit

We have +2 added to f(x)-value

It means 2 is added to y-value

So, it is shifted vertically upward by 2 units

So, horizontal translation 1 unit right and vertical translation 2 unit up