The graph of f(x) is stretched vertically by scale factor 3 and translated 2 units to the right to give the graph of 3f(x - 2)²
Step-by-step explanation:
Let us revise the vertical stretch and the horizontal translation
- A vertical stretching is the stretching of the graph away from the x-axis
- If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched by multiplying each of its y-coordinates by k.
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
∵ f(x) = x²
∵ f(x) is multiplied by 3
- 3 is greater than 1, then the graph of f(x) is stretched vertically
by scale factor 3
∴ The graph of f(x) is stretched vertically by scale factor 3
∵ x² is changed to (x - 2)²
- That means the graph of f(x) translated 2 units to the right
∴ The graph of f(x) is translated 2 units to the right
The graph of f(x) is stretched vertically by scale factor 3 and translated 2 units to the right to give the graph of 3f(x - 2)²
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You can learn more about transformation in brainly.com/question/2451812
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Answer:
for one month 500$
for daily visit 50$
500$=50$*x days
x days=500$/50$
x days = 10 days
10 days of daily visits costs 500$ equal to one month
Well this depends a lot about what your variable represents in this problem since if you have like -12 is greater than 24(-5). So it really just depends on your variable but if it's just -12 and 24 then 24 is greater than -12. So -12 is less than 24.
<h3>
Answer: 55 minutes</h3>
Work Shown:
(12 pictures)/(5 minutes) = (132 pictures)/(x minutes)
12/5 = 132/x
12x = 5*132
12x = 660
x = 660/12
x = 55
Note: I used the cross multiplication rule in the third step.
Answer:
t = 17.5
f = 12
Step-by-step explanation:
interior corner angles in a square = 90 degrees
4t + 20 = 90
4t = 90 - 20
4t = 70
t = 17.5
7f + 6 = 90
7f = 90 - 6
7f = 84
f = 12