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vredina [299]
2 years ago
12

Consider the parent graph f(x) = x2 . Then, g(x) is a translation according the rule: y = (x + 3)2 + 4. Find the graph g(x).

Mathematics
1 answer:
krok68 [10]2 years ago
3 0
For this case we have the following parent function:
 f (x) = x ^ 2
 We apply the following function transformation:
 Horizontal translations
 Suppose that h> 0
 To graph y = f (x + h), move the graph of h units to the left.
 We have then:
 y = (x + 3) ^ 2
 Vertical translations
 Suppose that k> 0
 To graph y = f (x) + k, move the graph of k units up.
 We have then:
 y = (x + 3) ^ 2 + 4
 Answer:
 
The graph g (x) is the graph f (x) 3 units to the left and 4 units up:
 
y = (x + 3) ^ 2 + 4
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Answer:

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Step-by-step explanation:

From the graph attached,

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Since, for one-to-one functions, inverse of the functions exist.

Therefore, the answer will be,

The inverse of 'f' exists.

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Liam wants to buy a car. He has $100. The car that he wants costs $120,000. His parents is willing to give him $1,300. How long
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Margarita [4]

Answer:

880 high-quality version

Step-by-step explanation:

I think the below is your full question:

<em>A Web music store offers two versions of a popular song. The size of the standard version is 2.1megabytes (MB). The size of the high-quality version is 4.5 MB. Yesterday, there were 1290 downloads of the song, for a total download size of 4821 MB. How many downloads of the high-quality version were there?</em>

Here is my answer:

Let x is the number of high-quality version

So the number of standard version= 1290 - x

We also know:  total download size of 4821 MB. which means:

4.5x + 2.1(1290-x) = 4821

<=> 4.5x+2709-2.1x=4821

<=> 2.4x=2112

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So there were 880 high-quality version

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Answer:

A

Step-by-step explanation:

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