फलन (y=\sin\(x-\frac{\pi}{4}\)) का ग्राफ \(y=\sin x\) से कैसा है?

How is the graph (y=\sin\(x-\frac{\pi}{4}\)) related to \(y=\sin x\)?

Explanation opens after your attempt
Correct Answer

A. \(\frac{\pi}{4}\) दाएँ खिसकाShifted \(\frac{\pi}{4}\) right

Step 1

Concept

Because \(x-\frac{\pi}{4}\) is inside, the graph shifts \(\frac{\pi}{4}\) to the right. Inner transformations move opposite to the sign.

Step 2

Why this answer is correct

The correct answer is A. \(\frac{\pi}{4}\) दाएँ खिसका / Shifted \(\frac{\pi}{4}\) right. Because \(x-\frac{\pi}{4}\) is inside, the graph shifts \(\frac{\pi}{4}\) to the right. Inner transformations move opposite to the sign.

Step 3

Exam Tip

\(x-\frac{\pi}{4}\) अंदर है, इसलिए ग्राफ \(\frac{\pi}{4}\) दाएँ खिसकता है। अंदर वाले रूपांतरण का दिशा-चिह्न उलटा समझें।

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Mathematics Answer, Explanation and Revision Hints

फलन (y=\sin\(x-\frac{\pi}{4}\)) का ग्राफ \(y=\sin x\) से कैसा है? / How is the graph (y=\sin\(x-\frac{\pi}{4}\)) related to \(y=\sin x\)?

Correct Answer: A. \(\frac{\pi}{4}\) दाएँ खिसका / Shifted \(\frac{\pi}{4}\) right. Explanation: \(x-\frac{\pi}{4}\) अंदर है, इसलिए ग्राफ \(\frac{\pi}{4}\) दाएँ खिसकता है। अंदर वाले रूपांतरण का दिशा-चिह्न उलटा समझें। / Because \(x-\frac{\pi}{4}\) is inside, the graph shifts \(\frac{\pi}{4}\) to the right. Inner transformations move opposite to the sign.

Which concept should I revise for this Mathematics MCQ?

Because \(x-\frac{\pi}{4}\) is inside, the graph shifts \(\frac{\pi}{4}\) to the right. Inner transformations move opposite to the sign.

What exam hint can help solve this Mathematics question?

\(x-\frac{\pi}{4}\) अंदर है, इसलिए ग्राफ \(\frac{\pi}{4}\) दाएँ खिसकता है। अंदर वाले रूपांतरण का दिशा-चिह्न उलटा समझें।