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dangina [55]
3 years ago
8

Which function represents a vertical stretch of an exponential function?

Mathematics
2 answers:
nika2105 [10]3 years ago
7 0

Answer:

A. f(x)=3(\frac{1}{2})^x

Step-by-step explanation:

The options are:

A. f(x)=3(\frac{1}{2})^x\\\\B. f(x)=\frac{1}{2}(3)^x\\\\C. f(x)=(3)^{2x}\\\\ D. f(x)=3^{(\frac{1}{2}x)}

For this exercise it is important to remember that, by definition, the Exponential parent functions have the form shown below:

f(x) = a^x

Where "a" is the base.

There are several transformations for a function f(x), some of those transformations are shown below:

1. If  bf(x) and  b>1, then the function is stretched vertically by a factor of "b".

2. If   bf(x)  and 0, then the function is  compressed vertically by a factor of "b"

Therefore, based on the information given above, you can identify that the function that represents a vertical stretch of an Exponential function, is the one given in the Option A. This is:

f(x)=3(\frac{1}{2})^x

Where the factor is:

b=3

And 3>1

goldfiish [28.3K]3 years ago
5 0

Answer:

A.

Step-by-step explanation:

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-4x - y = 24<br> Complete the missing value in the solution to the equation.<br> ( _,8)
Zinaida [17]

Answer:

(- 8, 8 )

Step-by-step explanation:

Given ( ?, 8 ) is a solution. To find x substitute y = 8 into the equation, then

- 4x - 8 = 24 ( add 8 to both sides )

- 4x = 32 ( divide both sides by - 4 )

x = - 8

Thus solution is (- 8, 8 )

5 0
3 years ago
If the perimeter of the regular pentagon is 75 cm what is the length of each side
mariarad [96]

Answer:

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Step-by-step explanation:

perimeter is (l*w)*2

if a pentagon is 5 sided, you do 75/5 which is 15.

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3 years ago
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Marrrta [24]
19/25 = x/100
Cross multiply:
1,900
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I hope this helps!
7 0
3 years ago
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Dafna11 [192]
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4 0
3 years ago
Find the missing side length, and enter your answer in the box below. If
Savatey [412]

The missing side length is c = 25 units.

Step-by-step explanation:

Step 1:

The given triangle has a 24 unit long adjacent side and a 7 unit long opposite side.

As we have two sides of the triangle, we can solve for the length of the other side by using Pythagoras' theorem.

The length of the hypotenuse is given as c units.

Step 2:

According to Pythagoras theorem,

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c^{2} = 625, c = 25.

So the missing length, c of the given triangle is 25 units.

8 0
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