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SVEN [57.7K]
3 years ago
15

Write a rule for g​ that represents the indicated transformations of the graph of f.

Mathematics
1 answer:
finlep [7]3 years ago
7 0

The rule of g(x) is g(x) = 2 (x-4)^{4} + 4(x - 4) + 12

Step-by-step explanation:

Let us revise some transformation

  • If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
  • If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched by multiplying each of its y-coordinates by k

∵ f(x) = x^{4} + 2x + 6

∵ The graph of f(x) is stretched vertically by a factor of 2

- That means the y-coordinate of each point on the graph is multiplied

   by 2, then y = 2.f(x) as the 2nd rule above

∴ y = 2[ x^{4} + 2x + 6]

∴ y = 2 x^{4} + 4x + 12

∵ The graph of 2.f(x) is translated 4 units to the right

- That means substitute every x by (x - 4) as the 1st rule above

∴ g(x) = 2 (x-4)^{4} + 4(x - 4) + 12

The rule of g(x) is g(x) = 2 (x-4)^{4} + 4(x - 4) + 12

Learn more:

You can learn more about transformation in brainly.com/question/2451812

#LearnwithBrainly

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Can you please help me !
Anit [1.1K]

Step-by-step explanation:

Question no 1 ans is -10.

Question no 2 ans is 14.

Question no 3 ans is 7.

Question no 4 ans is 14.

3 0
3 years ago
The chart below lists the original and sale prices of items at a clothing store.
Tom [10]

Answer: C) For every original price, there is exactly one sale price.

For any function, we always have any input go to exactly one output. The original price is the input while the output is the sale price. If we had an original price of say $100, and two sale prices of $90 and $80, then the question would be "which is the true sale price?" and it would be ambiguous. This is one example of how useful it is to have one output for any input. The input in question must be in the domain.

As the table shows, we do not have any repeated original prices leading to different sale prices.

5 0
3 years ago
Read 2 more answers
The fair spinner shown in the diagram above is spun.
Katena32 [7]

Unable to provide a definitive answer due to lack of diagram.

Answer: 1/4

Step-by-step explanation:

Multiples of 6:

Multiples of 6 are numbers obtained when 6 is multiplied by an integer. Such as

(6*1) = 6, (6*2)=12, (6*3) = 18..... and so on.

Probability is calculated by finding the ratio of the required outcome and total possible outcomes.

Probability = required outcome / Total possible outcomes

P(multiple of 6) = number of multiples of 6 / total number of possible outcomes

If number of 6 multiples = 5 and

Total number of faces in the spinner = 20

Then :

P(multiple of 6) = 5/20 = 1/4

5 0
3 years ago
You are in charge of purchases at the student-run used-book supply program at your college, and you must decide how many introdu
mariarad [96]

Answer:

  • Calculus texts: 600
  • History texts: 0
  • Marketing texts: 0

Step-by-step explanation:

Each Calculus text returns $10/2 = $5 per unit of shelf space. For History and Marketing texts, the respective numbers are $4/1 = $4 per unit, and $8/4 = $2 per unit. Using 1200 units of shelf space for 600 Calculus texts returns ...

  $5/unit × 1200 units = $6000 . . . profit

Any other use of units of shelf space will reduce profit.

7 0
3 years ago
Find the peremiter of triangle ABC
cricket20 [7]

Answer:

18

Step-by-step explanation:

if AB : BC : AC is 3 : 4 : 2 and BC = 8 then AB = 6 and AC = 4

To calculate the perimeter of the triangle we add all side lengths up

4 + 6 + 8 = 18

5 0
3 years ago
Read 2 more answers
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