<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: Ambulatory monitoring of the electrocardiogram in 100 healthy 14 to 16 year old boys showed heart rates ranging from 45 to 200 beats/minute during the day and from 23 to 95 beats/minute during sleep.
The fact that the cerebrum is still developing during adolescence explains why teenagers act the way that they do is because their brain cannot yet fully comprehend some of the things that they do.
Answer:
Option (C).
Explanation:
MDMA (3,4-Methylenedioxymethamphetamine) acts as a psychoactive drug that are used for the individual recreation. The pleasure and the energy of the body get increased after intake of this drug.
The excess intake of this drug causes harmful effects on the individual body. This drug can cause teeth grinding, addiction and its overdose can cause heart attack and heart stroke. The death of an individual might occur in case of excessive dehydration.
Thus, the correct answer is option (C).
