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3 years ago

How does the graph of g(x) = x + 4 compare with the graph of the parent function, f(x) = x?

Mathematics

2 answers:

astra-53 [7]3 years ago

7 0

Answer:

The function moves up 4 units.

Step-by-step explanation:

f(x) = x

g(x) = x + 4

The difference is the addition of 4. When a number is added to x without parentheses, the function moves up.

In this transformation, 4 units are moved up.

You can also use a graphing calculator and test it out to see.

Hope this helped! :)

Mashcka [7]3 years ago

6 0

Answer:

The graph of g(x) is shifted 4 units up.

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Let x be an even integer. What is the product of the next two consecutive even integers?

Ymorist [56]

X represents the even integerx + 2 represents the next even integerx + 4 represents the next even integer The product of the next two even integers(x + 2)(x + 4)x2 + 6x + 8 FOIL

5 0

4 years ago

What is the standard deviation of the following data? 52 61 31 44 47 45 25 48 47

Elena-2011 [213]

Standard deviation is calculated by
1. calculate mean, m
2. calculate deviation of EACH entry of data set from the mean, i.e.
d=(x-m)
3. calculate mean of square of deviations (d^2)/n to get variance,v
4. take square-root of variance to get standard deviation.

For example,
To find the standard deviation of data set {3,7,8}
1. mean=(3+7+8)/3=6
2. deviations, di={3-6,7-6,8-6}={-3,1,2}
3. squares of deviations, di^2={9,1,4}
4. mean of squares of deviations=(9+1+4)/3=14/3
Standard deviation=sqrt(14/3)=2.16

For the given data set, if you follow the above steps, you would get
sum=400
mean=400/9
variance (mean square of deviations)=8246/81
standard deviation=sqrt(8246/81)=sqrt(8246)/9

3 0

3 years ago

Pls answer these 2 questions

Vladimir79 [104]

Answer:

1. 4.75x = 12.35

x =12.35/4.75 = 2.6

2. Ans;

$3x + 2 + 4x - 1 \\ (3x + 4x) + (2 - 1) \\ = 7x + 1$

I hope I helped you^_^

6 0

3 years ago

Read 2 more answers

In a statistics class, 10 scores were randomly selected with the following results: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66. What

julia-pushkina [17]

Answer:

The 65th percentile is between 73 and 74

Step-by-step explanation:

Rearrange the ungrouped data in ascending order: 65,66,67,68,71,73,74,77,77,77

The 65th percentile is 65/100 of N ( N = 10) = 65/100 × 10 = 6.5

The 65th percentile is the 6.5th term. The 6th term is 73 and the 7th term is 74, the 6.5th term is between the 6th and 7th term

The 65th percentile is between 73 and 74

4 0

4 years ago

Read 2 more answers

Tara places a picture in a picture frame. The width of the picture is x inches, and the length of the picture is 2 inches more t

CaHeK987 [17]

Refer to the diagram shown below.

The dimensions of the outside of the picture rame are:
Width = x + 1 + 1 = x + 2 inches
Length = (x+2) + 1 + 1 = x + 4 inches.

The perimeter of the outside of the picture frame is 28 inches.
Therefore
2(x + 2) + 2(x+4) = 28

Solve for x.
2x + 4 + 2x + 8 = 28
4x + 12 = 28
4x = 16
x = 4 inches

Answer: 4 inches

7 0

4 years ago