<h3>
Answer: g(x) = 2sin(x)+3</h3>
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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
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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.
Answer:
The correct answer is c. modify her environment.
Explanation:
As Teresa is preparing herself to eat healthier and has created a plan of action to help reach that goal so meeting with her friends at the fast-food restaurant should be avoided because if she will go to fast food restaurant than there will be chances to eat fast food by her which will obstruct her to reach the goal.
Therefore Teresa knows that she needs to modify her environment from fast-food restaurants to the library so that she can meet her goal by avoiding fast food. Therefore the correct answer is c. modify her environment.
Answer:
a
Explanation:
i think its a because most often a strain is overuse vs sprain bing overextension of muscle
