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Ksivusya [100]
3 years ago
10

QUICK HELP PLEASE WILL GIVE BRAINLIEST

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
7 0

is it multiple choice


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Describe how to transform the graph of g(x)= ln x into the graph of f(x)= ln (3-x) -2.
Strike441 [17]

Answer:

The graph of g(x) = ㏑x translated 3 units to the right and then reflected

about the y-axis and then translated 2 units down to form the graph of

f(x) = ㏑(3 - x) - 2

Step-by-step explanation:

* Lets talk about the transformation

- If the function f(x) reflected across the x-axis, then the new

 function g(x) = - f(x)

- If the function f(x) reflected across the y-axis, then the new

 function g(x) = f(-x)

- If the function f(x) translated horizontally to the right  

 by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left  

 by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up  

 by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down  

 by k units, then the new function g(x) = f(x) – k

* lets solve the problem

∵ Graph of g(x) = ㏑x is transformed into graph of f(x) = ㏑(3 - x) - 2

- ㏑x becomes ㏑(3 - x)

∵ ㏑(3 - x) = ㏑(-x + 3)

- Take (-) as a common factor

∴ ㏑(-x + 3) = ㏑[-(x - 3)]

∵ x changed to x - 3

∴ The function g(x) translated 3 units to the right

∵ There is (-) out the bracket (x - 3) that means we change the sign

  of x then we will reflect the function about the y-axis

∴ g(x) translated 3 units to the right and then reflected about the

   y-axis

∵ g(x) changed to f(x) = ㏑(3 - x) - 2

∵ We subtract 2 from g(x) after horizontal translation and reflection

  about y-axis

∴ We translate g(x) 2 units down

∴ g(x) translated 3 units to the right and then reflected about the

   y-axis and then translated 2 units down

* The graph of g(x) = ㏑x translated 3 units to the right and then

  reflected about the y-axis and then translated 2 units down to

  form the graph of f(x) = ㏑(3 - x) - 2

7 0
3 years ago
Read 2 more answers
Find the vertices of the following functions.<br> Y=4(x-2)(x-3)<br><br> Y=-4(x+2)^2 -5
Natalija [7]
1) 5/2 , -1
2) -2,-5
8 0
3 years ago
If the length of a rectangle is increased by 120 %, and its width is decreased by 20%,
Dima020 [189]
Let length of rectangle=x and width be y
.`. area=x*y
now new length=x+12x/10=22x/10
width=y-y/5=4y/5
now .....
new area=new length-new width=22x/10*4y/5
new area=88xy/50
7 0
3 years ago
Read 2 more answers
How do I factor 3x+3y+9 with three terms​
Gekata [30.6K]

Answer:

3(x+y+3)

Step-by-step explanation:

6 0
3 years ago
Sao can text 1500 words per hour. He needs to text a message with 85 words. He only has 5 minutes between classes to complete th
ArbitrLikvidat [17]
Yes because 1500/60 = 25 which is the number of words per minute. He has 5 minutes to text so 25 x 5 = 125. In 5 minutes he can type 125 words
7 0
3 years ago
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