<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.
Mental health disorders are a wide range of mental health conditions, disorders that affect your mood, thinking and behavior.
Explanation:
I found this question elsewhere on this site. I will repeat their answer to you, so all of the credit for answering this goes to Pandamille.
"C. Limit your fat and sugar intake and eat more fruit and vegetables."
The integumentary system is composed of skin and other appendices such as nails and hairs. In the integumentary system there are several connections with the endocrine system.
Answer:
Shoulder roast
Explanation:
It has more muscle and connective tissue.
