<h3>
Answer: g(x) = 2sin(x)+3</h3>
=============================================
Explanation:
We start with y = sin(x) or f(x) = sin(x). Recall that y = f(x) since both are outputs.
Vertically stretching by a factor of 2 means we multiply each y value by 2.
This means,
y = sin(x)
2y = 2sin(x)
Then we shift 3 units up. So we add 3 to the y coordinate
2y+3 = 2sin(x)+3
---------------------------------------------------
We can track an example point to see this movement in action. For instance, let's focus on the point (pi/6,1/2) which is on f(x). I'm in radian mode.
Stretching f(x) vertically by a factor of 2 means (pi/6,1/2) moves to (pi/6, 1) after the stretching occurs. I multiplied the y coordinate by 2, and kept the x coordinate the same.
Then we shift up 3 units to go from (pi/6, 1) to (pi/6, 4). You add 3 to the y coordinate and keep the x coordinate the same. Note that plugging x = pi/6 into g(x) = 2sin(x)+3 leads to 4.
Not sure check on yahoo answers
An anxiety disorder is when a person cannot function normally due to intense fear.
Answer:
The correct answer is - true.
Explanation:
Aspects of body language such as facial expressions, gestures are important non verbal communication tools that help in detecting the emotion of an individual. Verbal communication tools are also important to detect emotions, however, Body language is more essential than verbal communication tools.
Facial expressions are helpful to recognize if an individual is happy, sad, that can easily experience on face of of a particular person.
Thus, the correct answer is - true.
Yes. this is true! sit at a desk with good back support