Type the equation for the graphbelow.Pi/3 2piy = [?] sin([ ]x)
1 answer:
To find the equation of the graph, what we do is to recognize some characteristics of a sine function:
- Amplitude: The amplitude of the sine function is the distance from the middle value or line running through the graph up to the highest point. In this case, the amplitude is 1.
- Period: The period of a sine function is defined as the length of one complete sine wave or one complete cycle of the curve. It can be found using the equation: P=2pi/B.
Why are these characteristics important?
Because the sine function has the following general form:
In this problem, we have A=1 and we know that the period equals 2pi/3. So,
Therefore, the equation of the graph is:
You might be interested in
Given:
The recipe calls for cup of strawberries for each gallon of lemonade.
Tia has 6 cups of strawberries.
To find:
The number of gallons of lemonade she can make.
Solution:
We have,
cup of strawberries for = 1 gallon of lemonade
cup of strawberries for =
gallons of lemonade
= gallons of lemonade
= gallons of lemonade
cup of strawberries for =
gallons of lemonade
= gallons of lemonade
= gallons of lemonade
Therefore, 9 gallons of lemonade she can make by using 6 cups of strawberries.