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Gnoma [55]
3 years ago
11

In two or more complete sentences, describe the transformation(s) that take place on the parent function, f(x) = log(x), to achi

eve the graph of g(x) = log(-2x-4) + 1.
Mathematics
1 answer:
EastWind [94]3 years ago
6 0

Using translation concepts, it is found that the parent function was:

  • Reflected over the x-axis.
  • Horizontally compressed by a factor of 2.
  • Shifted right 4 units.
  • Shifted up 1 unit.

The parent function is:

f(x) = \log{x}

The first transformation is:

\log{x} \rightarrow \log{-x}

  • Which means that it was <u>reflected over the x-axis</u>.

Then, \log{-x} \rightarrow \log{-2x}, which means that it was horizontally compressed by a factor of 2.

Then, \log{-2x} \rightarrow \log{-2x - 4}, which means that it was shifted right 4 units.

Finally, <u>1 was added</u> to the function, which means that it was shifted up 1 unit.

To learn more about translation concepts, you can take a look at brainly.com/question/4521517

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it goes in 4 times I rounded up to 30 and 30 times 4 is around there

7 0
3 years ago
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A scale drawing of a living room is shown below. The scale is 1 : 40. A rectangle is shown. The length of the rectangle is label
Temka [501]

The scale ratio of a point A to another point B is the division of the length of B by the length of A. The area of the room is approximately 266.67 square feet.

Given that:

Scale = 1:40

l = 6in --- length of rectangle

w = 4in --- width of rectangle

Divide by 12 to convert the dimensions to feet

l = \frac{6}{12}ft

w=\frac{4}{12}ft

Scale = 1:40 means that the dimension of the room is 40 times the dimension of the rectangle.

So, we have:

Length = \frac{6}{12}ft * 40 = 20ft

Width = \frac{4}{12}ft * 40 = \frac{40}{3}ft

The area of the room is:

Area = Length * Width

So, we have:

Area = 20ft * \frac{40}{3}ft

Area = \frac{800}{3}ft^2

Area = 266.67ft^2

The area of the room is 266.67 square feet

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brainly.com/question/16713785

4 0
3 years ago
Days before a presidential​ election, a nationwide random sample of registered voters was taken. Based on this random​ sample, i
dimaraw [331]

Answer:

D. ​No, because​ 50% is within the bounds of the confidence interval.

Step-by-step explanation:

"52% of registered voters plan on voting for Robert Smith with a margin of error of plus or minus±​3%"

This means that the 95% confidence interval for the percentage of people that plan on voting for Robert Smith is

(52-3 = 49%, 52+3 = 55%).

We can't say that he will win the election, because at the 95% confidence level, the proportion is not guaranteed to be above 50%.

So the correct answer is:

D. ​No, because​ 50% is within the bounds of the confidence interval.

4 0
4 years ago
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Please help me solve questions 1&amp;2
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Answer:

1) Volume of prism is (V=Area of base×Height)

Volume " " "(V=22÷7×rsquare×h)

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On a vacation in Puerto Rico rose jumped off a cliff into a river in El Yunque go forest reserve her height as a function of tim
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Answer: t = 6 s

Step-by-step explanation:

When Rose hit the water, the height of the jump is 0, so: h(t) = 0.

Resolving it, we have:

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To simplify the second degree equation, divided it by 16:

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Δ = 1² - 4. (-1) . 30

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Since time can be negative, it took t = 6s for Rose to hit the water.

6 0
3 years ago
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