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Darya [45]
3 years ago
10

Determine all the transformations that have happened to f(x) = (x + 4)2 + 2 compared to

Mathematics
1 answer:
Sav [38]3 years ago
3 0

Answer:

Folow the steps to learn what transformations were determined.

Step-by-step explanation:

First we would have to graph the parent function which is f(x) = x^2. Start by finding your x and y values. Find the y values by plugging in the x values into the parent function.

X    Y

2    4

1     1

0    0

-1     1

-2    4

Once these points are plotted you can start determining what are the transformations. Find the difference between the parent function and f(x) = (x + 4)^2 + 2 by looking below.

Vertical Shifts:

f(x) + c moves up,

f(x) - c moves down.

Horizontal Shifts:

f(x + c) moves left,

f(x - c) moves right.

The parent function has to be transformed left 4 and up 2. In order to do this shift each point from earlier left 4 and then up 2. In conclusion you will have two functions graphed (parent function and the transformed function).

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Which fraction is larger: 1/4 or 2/4
melisa1 [442]
No, the answer is 1/2 (2/4). If you have a pie, cut 4 pieces, and take one piece, that is 1/4. If you cut a pie in two pieces and take one piece, you took 1/2 AND that piece you took would be bigger than the 1/4 piece.
6 0
3 years ago
Read 2 more answers
b. Sixty-five pounds of candy was divided into four different boxes. The second box contained twice the amount of the first box.
Ainat [17]

First box = 14 pounds

Second box = 2x = 28 pounds

Third Box = x+2= 16 pounds

Fourth box = x/2 = 7 pounds

<u>Step-by-step explanation:</u>

Here we have , Sixty-five pounds of candy was divided into four different boxes. The second box contained twice the amount of the first box. The third box contained two more pounds than the first box. The last box contained one-fourth the amount in the second box. We need to find How much candy was in each box. Let's find out:

We have a total of 65 pounds of candy ! Let in first box we have x pounds so , second box contained twice the amount of the first box i.e.

⇒ 2x

The third box contained two more pounds than the first box i.e.

⇒ x+2

The last box contained one-fourth the amount in the second box i.e.

⇒ (\frac{1}{4})2x = \frac{x}{4}

Therefore , Sum of pounds of candy are :

⇒ \frac{x}{2} +x+2+2x+x=65

⇒ \frac{x}{2} +4x=63

⇒ \frac{9x}{2}=63

⇒ x=63(\frac{2}{9} )

⇒ x=14

Therefore , Candy in each box is :

First box = 14 pounds

Second box = 2x = 28 pounds

Third Box = x+2= 16 pounds

Fourth box = x/2 = 7 pounds

8 0
3 years ago
The number of pieces of popcorn in a large movie theatre popcorn bucket is normally distributed, with a mean of 1610 and a stand
romanna [79]

Answer:

A

Step-by-step explanation:

We know that in normal distribution, approximately 34% of bags will fall with in one standard deviation on one side. On both sides within the range of 1 standard deviation, 34 + 34 = 68 % of bags will fall.

Our range is:

1600 to 1620

1610 - 10 to 1610 + 10

So the answer is 1

That means, that 68% is the answer.

7 0
3 years ago
Read 2 more answers
How many repeating digits are in 0.536<br><br> A. 1<br><br> B. 2<br><br> C. 3<br><br> D. 4
AURORKA [14]

Answer: there is 4 digits in the number 0.536

Step-by-step explanation: Remember that the zero counts as a number

5 0
3 years ago
What’s the product of 1/2 x 2/3 x 3/4
lisabon 2012 [21]

1/2 x 2/3 x 3/4 = 1/4

(Sorry, I did the math wrong. I meant 1/4)

7 0
3 years ago
Read 2 more answers
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