52.6k views
1 vote
The function f(x) = 2x - 4 is shifted three units down. What is the new function?

a) f(x) = 2x - 7
b) f(x) = 2x - 1
c) f(x) = 2x + 3
d) f(x) = 2x - 4

1 Answer

4 votes

Final answer:

The new function after shifting f(x) = 2x - 4 down by three units is f(x) = 2x - 7, which corresponds to option (a).

Step-by-step explanation:

The student has asked what the new function is if the function f(x) = 2x - 4 is shifted three units down. When a function is shifted down by some units, you subtract that number from the entire function. In this case, you subtract 3 from the original function, resulting in the new function being f(x) = 2x - 4 - 3.

By simplifying the expression, you get f(x) = 2x - 7, which makes option (a) the correct answer.

User Vincent Yiu
by
8.9k 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