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AfilCa [17]
3 years ago
12

Describe how the graph of each function is related to the graph of its parent function.

Mathematics
1 answer:
adelina 88 [10]3 years ago
4 0

Answer:

  5. reflection in y=0, translation 1 up

  6. translation 4 right

  7. translation 1 left, 2 down

Step-by-step explanation:

For parent function f(x), the transformation ...

  g(x) = a·f(x -h) +k

represents a vertical scaling by a factor of "a", a translation to the right by an amount "h", and a translation upward by an amount "k". When "a" is negative, it represents a reflection across the x-axis.

__

5. a=-1, h=0, k=1. Reflection across the x-axis, then translation upward 1 unit.

__

6. a=1, h=4, k=0. Translation to the right 4 units.

__

7. a=1, h=-1, k=-2. Translation 1 unit left and 2 units down.

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Murljashka [212]

Answer: 6 ft ^  2

Step-by-step explanation:

We have been given that a piece of carpet is 8 feet wide and 12 feet long. The carpet needs to be reduced by a scale factor so that the reduced carpet is 2 feet wide.

First of all, let us find the scale factor by which the width of the carpet has been reduced.

<em>Original width of carpet x scale factor = 12</em>

<em>Dividing both sides by 8 feet we will get:</em>

<u><em>8 feet x Scale factor/8 ft = 2/8 ft</em></u>

<em>Scale Factor = 1/4 </em>

<em>Let us find the length of carpet after reduced by a scale factor of 1/4. </em>

Length of the carpet after reducing a factor of 1/4=12 ft x 1/4

Length of the carpet after reducing a factor of 1/4=3 ft.

Now we will multiply the reduced length and width of the carpet to find the area of reduced carpet.

Area of reduced carpet = 2 ft x 3 ft

Area of reduced carpet = 6 ft

Therefore, the area of reduced carpet is 6 square feet.

5 0
3 years ago
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aliya0001 [1]

Answer:

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8 0
2 years ago
A savings account accrues interest at a rate of 3.0% yearly. If someone opens an account with $2,500, how much money would the a
Dmitriy789 [7]
To answer the question above we first need to know how much is the interest per year. In equation, 3% of $2500 is 75. 75 per year in 4 years is 300. So add $300 to the principal amount, the money after 4 years would be $2800.
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3 years ago
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elena-14-01-66 [18.8K]

Answer:

Improper Fraction : $22/5

Decimal : $4.4

Mixed: $4 2/5 ...

Step-by-step explanation:

Sherman Has 3 cats and 2 dogs

Sherman has $22 to spend on pet toys.

To find the answer divide the  overall amount that Sherman has to spend overall which is $22, Now divide it by the amount of pets that he has, 3+2=5

We can write it as:

Improper Fraction : $22/5

Decimal : $4.4

Mixed: $4 2/5 ....

3 0
3 years ago
If 3x + 6y = 7z, find x + 2y in terms of z.
o-na [289]

Answer:

Does the answer help you?

3 0
3 years ago
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