231k views
6 votes
The graph of f(x) =
2^(x+3) shifts 10 units to the right when it is replaced with the graph of f(x) =
2^(x-k). What is the value of k? 3 7 10 13

1 Answer

7 votes

Answer:

7

Explanation:

Whenever you shifting an exponential function to the left/right, you're going to generally have the equation:
y=2^(x-k) where k is the shift. So in this case we can think of x+3 as x and k as 10, since the shift is 10. This gives you the equation: (x+3) - 10, which simplifies to x-7, meaning the k value in this case is going go be 7. You can also think of it as already being shifted 3 units to the left, and you shift it 10 units to the right, that means this new function will be shifted 7 units to the right relative to the origin. This means the k=7.

User Juanker
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories