Question

The function f(x)=2^x and g(x)=f(x)+k. if k=2, what can be concluded about the graph?

the graph of g(x) is shifted vertically...

2 units to the left of the graph of f(x)...

Answer 1

Its shifted verticlly 2 and to the left 2.

Explanation:

Its verticlly because when it says 2^x its going up if it said -2^x it would go down.

It goes left because it is 2^x=? so if you put it on the other side its negative which makes it to the left.

Answer 2

Translations are transformations that change the position of the graph of a function. The general shape of the graph of a function is moved up, down, to the right or to the left. The translations are considered rigid transformations.
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
To graph y = f (x) -k, move the graph of k units down.
We have then:
f (x) = 2 ^ x
g (x) = f (x) + k
if k = 2
then,
the graph of g (x) is shifted vertically 2 units up

Answer:
the graph of g (x) is shifted vertically 2 units up