Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Find the equation of the graph given below. Notice that the sine function is used in the answer template, representing a sine function that is shifted and/or reflected.

Use the variable x in your equation, but be careful not use the multiplication x symbol.

y= __sin(___)+__


Find The Equation Of The Graph Given Below Notice That The Sine Function Is Used In The Answer Template Representing A Sine Function That Is Shifted Andor Refle class=

Sagot :

Answer:

y = 2sin(x/2 - pi/4) + 1

Step-by-step explanation:

The normal sine has a range of [-1, 1]. This one has a range of [-1, 3], so the amplitude is 2 times higher (4 vs 2).

After that, 2sin(x) has a range of [-2, 2], but this one has a range of [-1, 3], so we need to shift it upwards by 1.

We now know that the answer is 2sin(____)+1.

A normal sine has it's middle point while rising at x = 0, but this one has it at x = pi/2 - so we need to shift a sine to the right by pi/2.

Lastly, a sine has a cycle of length 2pi, but this one has a cycle of length 4pi. We can achieve that by dividing the argument 2.

We now know that the answer is 2sin(x/2 - pi/4) + 1. We can plot it to verify.

View image janmilczek
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.