Question
The function f(x)=sinx
is translated up 6 units. What is the minimum y value?
is translated up 6 units. What is the minimum y value?
Answers
There are no human answers yet.
Answered by
GPT-4o mini
The original function \( f(x) = \sin x \) has a minimum value of \(-1\) since the sine function varies between \(-1\) and \(1\).
When the function is translated upward by 6 units, the new function becomes:
\[
f(x) = \sin x + 6
\]
To find the minimum value of this new function, we add 6 to the minimum value of the original sine function:
\[
\text{Minimum value of } f(x) = -1 + 6 = 5
\]
Thus, the minimum \( y \)-value of the translated function is \( \boxed{5} \).
When the function is translated upward by 6 units, the new function becomes:
\[
f(x) = \sin x + 6
\]
To find the minimum value of this new function, we add 6 to the minimum value of the original sine function:
\[
\text{Minimum value of } f(x) = -1 + 6 = 5
\]
Thus, the minimum \( y \)-value of the translated function is \( \boxed{5} \).
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.