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3 years ago

Which statement correctly describes the relationship between the graph of f(x) and g(x)=f(x+2) ?

Mathematics

2 answers:

Ahat [919]3 years ago

7 0

Adding a value to the X value shifts the graph that many units to the left.

X+2 adds 2 to x, so the graph would shift 2 unites to the left.

The answer is:

The graph of g(x) is the graph of f(x) translated 2 units left.

klemol [59]3 years ago

5 0

Answer:

Option D.

Step-by-step explanation:

The transformation of a function is defined as

$g(x)=kf(x+a)+b$ .... (1)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

The given relationship between two function is

$g(x)=f(x+2)$ .... (2)

On comparing (1) and (2) we get

h=2> 0, so the graph of g(x) is the graph of f(x) translated 2 units left.

Therefore, the correct option is D.

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Marco's mom has measured his height in centimeters every few months between the ages of 4.5 and 7.5. The recorded values are bes

Contact [7]

Answer:

Extrapolation

Step-by-step explanation:

Extrapolation is a type of estimation, beyond the original observation range. In this case, the observation range is from 4.5 to 7.5 years. Marco's mom is extrapolating the regression line to estimate Marco's height at 14 years old. This sort of estimation assumes that Marco's height will continue changing at the same rate until he is 14 years old.

7 0

3 years ago

50 POINTS WILL GIVE BRAINIEST. Which of the following numbers are irrational?

Otrada [13]

Answer:

$\sf \dfrac{\pi}{3}\:\:and\:\:\sqrt[\sf 3]{\sf 25}$

Step-by-step explanation:

Definitions

Integer: A whole number that can be positive, negative, or zero.

Rational Number: A number that can be expressed as the ratio of two integers (where the denominator does not equal zero).

Irrational Number: A real number that cannot be written as a rational number.

$\sf -8.2183 \times 10000=-82183$

$\implies \sf -8.2183=-\dfrac{82183}{10000}$

Therefore, -8.2183 can be expressed as a rational number.

π is an infinite decimal, so it cannot be expressed as a rational number.

$\textsf{Therefore},\:\dfrac{\pi}{3}\:\textsf{is irrational}.$

$\sqrt[\sf 3]{\sf 25}$ is an irrational number.

$\sf 9+ \sqrt{4}=9+\sqrt{2^2}=9+2=11$

As 11 can be expressed as ¹¹/₁ then 9 + √4 is rational.

Conclusion

Therefore, the numbers that are irrational are:

$\sf \dfrac{\pi}{3}\:\:and\:\:\sqrt[\sf 3]{\sf 25}$

8 0

1 year ago

Hii i’ll give brainliest please help thanks :)

nadezda [96]

Answer: The median score will remain the same at 91.

Step-by-step explanation: The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. Write all of the numbers and cross out a even amount of numbers on both sides. Image 1 shows the problem with original numbers. Image 2 shows problem with new numbers

4 0

2 years ago

The mean of the values in a data set is c. If each of the values in the data set were multiplied by 6, what would be the mean of

oksian1 [2.3K]

Answer:

Mean of the data would be 6c

Step-by-step explanation:

Rule to Remember: Whenever each term of the data is multiplied by the same number, the new mean is previous mean multiplied by that number.

In this case, original value of mean was c. Each value of the data is multiplied with 6 so a result the new mean would be 6 times the original mean i.e. 6c

Let us consider that original values in the data set are x, y and z. Their mean would be:

$Mean=\frac{x+y+z}{3}$

If each value of the data is multiplied with 6, the new values would be 6x, 6y and 6z. The mean in this case will be:

$Mean=\frac{6x+6y+6z}{3}\\Mean=\frac{6(x+y+z)}{3}\\Mean=6\times\frac{x+y+z}{3}\\Mean=6c$

We can see from above that the new mean is 6 multiplied to the original mean.

Therefore, the answer to this question is 6c.

7 0

3 years ago

Dave builds sheds. The widths of the doorways for the sheds vary with the area of the shed. One of Dave's sheds has an area of 2

Dovator [93]

Answer:

The widths of the shed doorways follow the pattern of multiplying by two. For example, 2 x 2 = 4.

Step-by-step explanation:

24 x 2 = 48

2 x 2 = 4

The sheds double in width and area.

7 0

2 years ago