Math 2 question

Question

The graph f(x)=(x+1)^2 is translated 3 units right, resulting in the graph g(x) . Write an equation that represents the new function, g(x).

Answer 1

f(x)=(x+1)²

To translate 3 units to the right, you adjust the original equation by -3. For horizontal transformations, the sign is opposite.

g(x)=(x+1-3)²

Simplifying, the result is:

g(x)=(x-2)²