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maria [59]
3 years ago
14

F(x)=2x is transformed to g(x)=5⋅2x. How was the graph affected?

Mathematics
1 answer:
lukranit [14]3 years ago
5 0

Answer:

vertically stretched by a factor of 5

Step-by-step explanation:

Multiplying the function value by 5 makes each vertical coordinate 5 times the value it was, so it is 5 times as far away from the x-axis. This has the appearance of stretching the graph vertically by a factor of 5.

_____

Comment on the answer choices

The stretch factor is a "pure number", a ratio of new units to old units. It is "5", not "5 units."

For example, if f(x) is 1 ft (1 unit, where the unit is a foot), then g(x) = 5 ft, the value of f(x) multiplied by 5. It is not 5 ft^2, as you would get if f(x) were multiplied by 5 units, or 5 ft.

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PLEASE HELP! LOVE YOU!
saw5 [17]

the base must be raised

for example

log_{10} 55 = n ( the base is 10 ), then

55 = 10^{n}


3 0
2 years ago
Given (21,7) and (x,<br> 1), find all x such that the distance between these two points is 17.
Dmitriy789 [7]

Answer:

21+/-sqrt(253)=x

So one value for x is 21+sqrt(253)

and another is 21-sqrt(253)

Problem:

Given (21,7) and (x,1), find all x such that the distance between these two points is 17.

Step-by-step explanation:

Change in x is x-21

Change in y is 7-1=6

distance^2=(change in x)^2+(change in y)^2

17^2=(x-21)^2+(6)^2

289=(x-21)^2+36

Subtract 36 on both sides:

289-36=(x-21)^2

253=(x-21)^2

Take square root of both sides:

+/-sqrt(253)=x-21

Add 21 on both sides:

21+/-sqrt(253)=x

6 0
3 years ago
A table<br> cloth is 82 inches<br> long. What is its length in<br> feet and inches?
Ratling [72]
The answer is 6 feet 10 inches
4 0
2 years ago
You walk 2 miles in 1/2 an hour at that rate how long will it take to walk 3 miles?
In-s [12.5K]

Answer:45 minutes


Step-by-step explanation:since you walk 4 miles an hour in half of one you walk 2


6 0
3 years ago
The sum of two irrational numbers is _____ a rational number. Which word correctly fills in the blank to create a true statement
77julia77 [94]

Answer:

C.) Sometimes

Step-by-step explanation:

The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational.

7 0
3 years ago
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