Question

Choose the best option that describes how you would write the new function after doing the given transformation.

f(x) = -x + 91 - 1; translation 6 units down

A) Put the 6 at the beginning of the function
B) Add 6 inside with 9
C) Subtract 6 inside with 9
D) Add 6 at the end with 1
E) Subtract 6 at the end with 1

Answer 1

The correct transformation is to add 6 at the end of the function, which results in the new function f(x) = -x + 96. The answer is E) Subtract 6 at the end with 1.

Step-by-step explanation:

The given function is f(x) = -x + 91 - 1, and the transformation is to translate the function 6 units down. This can be done by adjusting the constant term in the function. Therefore, to translate the function 6 units down, we add 6 units at the end of the function. The new function after the transformation is f(x) = -x + 91 - 1 + 6, simplifying it would be f(x) = -x + 96. Thus, the best option that describes how to write the new function is E) Subtract 6 at the end with 1, which in this case actually involves adding 6 to the constant term at the end of the function.