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dalvyx [7]
3 years ago
7

What transformation has changed the parent function f(x) = log5 x to its new appearance shown in the graph below? logarithmic gr

aph passing through point negative 1, negative 2.
f(x + 2) + 2
f(x + 2) − 2
f(x + 2) + 5
f(x − 2) − 5

Mathematics
2 answers:
Sloan [31]3 years ago
8 0
F(x+2)-2 is the correct answer. I got it right on my test. Just make sure the point passing through is -1,-2 or you will miss this question. Hope I help you all.
-BARSIC- [3]3 years ago
7 0

Answer:

B. f(x + 2) − 2

Step-by-step explanation:

We are given the function f(x)=\log_{5}x.

Now, f(x) is transformed to obtain a function passing through the point (-1,-2).

So, we get that,

Translating the logarithm function by 2 units to the left and then 2 units downwards.

We get the function f(x)=\log_{5}(x+2)-2.

So, on substituting the value x= -1, we get,

f(-1)=\log_{5}(-1+2)-2

i.e. f(-1)=\log_{5}(1)-2

i.e. f(-1)=-2

<em>Thus, the function f(x)=\log_{5}(x+2)-2 passes through the given point as shown below.</em>

So, the required transformation is f(x + 2) − 2.

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Vince has a rectangle rug in his room with an area of 10 feet. The length of the rug is 18in longer than the width. What are the
german

Answer:

120x138 in or 11.5x10 feet

Step-by-step explanation:

Step 1:

convert the feet to inches

10(feet)*12(inches)=120 inches

Step 2:

120(width)+18(length)=138 inches

Step 3:

width: 120 in OR 10 feet

length: 138 inches OR 11.5 feet (when divided by 12)

Hope this helps!

8 0
3 years ago
Read 2 more answers
Find the height of a rectangular prism if the surface are is 288 square centimetres and the base has a length of 4 centimetres a
liraira [26]
The rectangular prism below is made up of 6 rectangular faces, and the faces opposite to each other are have an equal area.
The area of one of the faces is lxh or lh, and the area of the face opposite to it is also equal, so the area of those two equal faces is 2lh.
The area of the base of the prism is lxw, and the area of its opposite face is equal, so the area of those two equal faces is 2lw.
The area of the face in the left side of the prism is wxh, and the area of the face opposite to it is also equal, so their combined area is 2wh.
So, to find the total surface area of a rectangular prism, we’d add the sum of all the rectangular faces, so the formula of finding the surface area of a rectangular prism=
2lh+2lw+2wh
=2(lh+lw+wh)
Given,
Surface area of the rectangular prism=288 cm^2
2(lh+lw+wh)=288
2[4h+(4x9)+9h)]=288
4h+(4x9)+9h=288/2
4h+(4x9)+9h=144
13h+36=144
13h=144-36
13h=108
h=108/13
h=8.308 cm
Hope this helps!

8 0
3 years ago
Can someone tell me what is the slope of the line that includes points (4,-10) and (6,8)
miss Akunina [59]

Answer: hmmm no!

Step-by-step explanation:

3 0
3 years ago
. What does the line y = 3x - 7 look like
Norma-Jean [14]
<span>y = 3x - 7

3 = slope
-7 = y intercept

This line would cross the y intercept at -7, and go up by 3 (slope). </span>
8 0
3 years ago
Write 0.614¯¯¯ as a fraction in simplest form.
Verizon [17]

Answer:

307/500

Step-by-step explanation:

307 is a prime number.

The way to find this out is to take 0.614 and multiply it by 1,000 because then it will be a natural number. 0.614*1,000=614.

now you take 614/1,000 because that's what you multiplied it by and simplify it.

614/2 and 1,000/2=307/500 and this cannot be simplified any more than this because 307 is a prime number.

5 0
2 years ago
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