Question

The function f(x)=sinx
is translated up 6 units. What is the minimum y value?(1 point)
The minimum is located at y=
.

Answer 1

The function \( f(x) = \sin x \) has a minimum value of -1. When this function is translated up 6 units, the new function can be represented as:

\[
f(x) = \sin x + 6
\]

To find the minimum y value of the translated function, we add 6 to the original minimum value:

\[
\text{Minimum y value} = -1 + 6 = 5
\]

Thus, the minimum y value after the translation is:

\[
\text{Minimum is located at } y = 5.
\]