Hello!
The parent function of the graph of sin is y = sin(x).
Amplitude is the maximum displacement on the graph of a function.
Period is the displacement of x at which the graph of a function begins to repeat.
The period can be found by using the formula: 
.
Since the amplitude is 3, the graph of sin is y = 3sin(x).
Given the period 2π, we can substitute this value into the given formula, , to find B.
2π = 2π / B (multiply B to both sides)
2π · B = 2π (divide by 2π)
B = 1
Thus, the equation is y = 3sin(x). I'll post the graph as well.
Answer:The solution is in the attached file
Step-by-step explanation:
<span>Solutions or Roots of Quadratic Equations. A real number x will be called a solution or a root if it satisfies the equation, meaning . It is easy to see that the roots
are exactly the x-intercepts of the quadratic function , that is the
intersection between the graph of the quadratic function with the
x-axis.</span>
Answer: 
Step-by-step explanation:
You can observe in the figure two parallel lines that are intersected by a transversal and several angles are formed.
The angles m∠3 and m∠6 are located inside the parallel lines and on one side of the transversal, this angles are known as "Consecutive interior angles" and they are supplementary (which means that they add up 180°).
Therefore, you know that:
So you can substitute m∠3=130° and solve for m∠6. Then you get:
