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3 years ago

If you vertically stretch the exponential function f(x) = 2* by a factor of 5, what

Mathematics

1 answer:

zloy xaker [14]3 years ago

5 0

Answer:

f(x)=5(2^x)

Step-by-step explanation:

We have been given the parent function

We have the transformation rule:

Rule: If the parent function y =f(x) is stretched vertically by a factor 'k' then the equation becomes y=kf(x).

Here, the exponential function vertically stretched by a factor 5, hence, k = 5.

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Choose the graph which matches the function. (2 points) <br> f(x) = 3x-4

vovangra [49]

The last image is the graph of $y = 3^x$

In fact, it is an increasing exponential function, and it passes through the points $(0,1)$ , which reflects the fact that $3^0=1$ and $(1,3)$ , which reflects the fact that $3^1=3$ .

Now, $y = 3^{x-4}$ is a child of the parent function we just described. Precisely, it is the result of the transformation $f(x) \to f(x-4)$

In general, every time you perform a transformation like $f(x) \to f(x+k)$ , you translate the graph horizontall, k units to the left if k is positive, and k units to the right if k in negative.

Since in this case $k = - 4$ , we have a horizontal translation of 4 units to the right.

So, the correct option is the third one, because:

The first graph is the parent function translated 4 units to the left
The second graph is the parent function translated 4 units down
The third graph is the parent function translated 4 units to the right
The fourth graph is the parent function

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3 years ago

An explanation for 168 divided by 5.6

Nataly_w [17]

168 divided by 5.6 equals 30 hope this helps

3 0

3 years ago

A printing company charges $5.00 for the first 400 pages printed. For each page printed over 400, the customer is charged an add

Vadim26 [7]

Answer:

Step-by-step explanation:

Up to 400 pages, the cost is fixed at 5.00 dollars

After 400 pages the cost is 0.01 cents/page

It's not A. 400 is the number of pages. It is not a cost.
It's not B either. B means that no matter how many pages you print, it's going to cost 5 dollars + the number of pages times 1 cent.
C is not the answer. It is really just an answer put it. You pay 1 cent for each page between 400 and what you printed.
I think D is the answer, but if you get a negative number, then the cost is 5 dollars

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3 years ago

Find the mean of 3,2,2,5,1,3,2,0,5<br>

LekaFEV [45]

Answer:

2.56

Step-by-step explanation:

(3+2+2+5+1+3+2+0+5)/9=2.55555555556...

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3 years ago

Find the mean, Find the median,<br> mode, and range <br> of each Data set 46, 35, 23, 37, 29, 53, 43

g100num [7]

Answer: mean- 38

median- 37

mode- no mode

range- 30

Step-by-step explanation:

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3 years ago