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2 years ago

Describe the transformations necessary to transform f(x) into g(x)

Mathematics

1 answer:

Aleks [24]2 years ago

6 0

Using translation concepts, the transformations are given as follows:

a) The function is horizontally compressed by a factor of 3 and shifted down one unit.

b) The function is shifted right 3 units and vertically stretched by a factor of 2.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Item a:

The transformations are:

x -> 3x, hence the function is horizontally compressed by a factor of 3.

y -> y - 1, hence the function is shifted down one unit.

Item b:

The transformations are:

x -> x - 3, hence the function is shifted right 3 units.

y -> 2y, hence the function is vertically stretched by a factor of 2.

More can be learned about translation concepts at brainly.com/question/4521517

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The teacher asked 4 students to measure 4 different objects. The table shown represents their measurements. Which student had th

Maru [420]

Student 4 has the largest percent error.

Step-by-step explanation:

The percent error of a measurement is given by

$p=\frac{|x-x_{true}|}{x_{true}}\cdot 100$

where

x is the value of the measurement

$x_{true}$ is the actual value

For student 1:

$x=49\\x_{true}=50$

Percent error:

$p=\frac{|49-50|}{50}\cdot 100=0.02\cdot 100=2\%$

For student 2:

$x=25.5\\x_{true}=25$

Percent error:

$p=\frac{|25.5-25|}{25.5}\cdot 100=0.0196\cdot 100 = 1.96\%$

For student 3:

$x=7.5\\x_{true}=8$

Percent error:

$p=\frac{|7.5-8|}{8}\cdot 100=0.0625\cdot 100 = 6.25\%$

For student 4:

$x=2.1\\x_{true}=1.6$

Percent error:

$p=\frac{|2.1-1.6|}{1.6}\cdot 100=0.3125\cdot 100 = 31.25\%$

So, student 4 has the largest percent error.

Learn more about errors:

brainly.com/question/2764830

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4 0

3 years ago

Evaluate (4)^-4 pls answer!!!

geniusboy [140]

Answer:

Fraction: 1/256 or

Decimal: 0.00390625 or 0.00391

Step-by-step explanation:

4^-4=1/4^4

4^4=256

=1/256

8 0

3 years ago

What theorem or postulate can be used to justify that the two triangles are congruent? Write the congruence

jekas [21]

Answer:

Step-by-step explanation:

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3 years ago

3. Starbucks Coffee was selling for $57.12 per share eighteen months ago and you

Makovka662 [10]

Answer: 120.5 shares

Step-by-step explanation: You add 68.38 and 57.12 and there is you answer

3 0

3 years ago

6-1/3x=-1 How do I do this

I am Lyosha [343]

Im gonna assume you mean 6 - (1/3)x = -1. Your notation is not super clear. If so, solution is as follows:

6 - (1/3)x = -1 [subtract 6 from both sides]
-(1/3)x = -7 [multiply both sides by -3]
x = 21

7 0

3 years ago