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

Answer:

horizontal translation 1 unit right  and vertical translation 2 unit up

Step-by-step 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