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jok3333 [9.3K]
2 years ago
9

This task gives you the opportunity to:

Mathematics
1 answer:
hram777 [196]2 years ago
6 0

The graph of y = x² is transformed to the graph of y = x² - 3x - 10 with these following translations:

  • Shift right of 1.5 units.
  • Shift up of 7.75 units.

<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 either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The parent function is:

y = x².

Completing the squares, the translated function can be written as:

x² - 3x - 10 = (x - 1.5)² + 10 - 1.5² = (x - 1.5)² + 7.75.

Hence, the translations are:

  • Shift right of 1.5 units, due to x -> x - 1.5.
  • Shift up of 7.75 units, as y -> y + 7.75.

More can be learned about translations at brainly.com/question/28473136

#SPJ1

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ozzi

Answer:

$0.036

Step-by-step explanation:

I will be solving this questions in a rational, proportional way.

This question given is directly proportional. There are two types of proportion.

Direct - Let's say there are two values, x and y. In direct proportion, while x   increases, y increases with it.  

Inverse- Taking x and y, in inverse proportion, while x increases, y decreases or while y increases, x decreases.

In the given example, there are two values, number of plates and cost of plates. While the number of plates increases, the cost would surely increase. Therefore, giving us that it is a direct proportion.

500 plates : $18.00 :: 1 : $x

500 plates is to 18 dollars, then, 1 plate is to how many dollars?

In direct proportion, the product of extremes is equal to the product of means.

500(x) = 18(1)

500x = 18

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x = 0.036

Hence, one plate costs $0.036 or 3.6 cents

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Step-by-step explanation:

As long as all the 3 letters(D, K, and M) are included, it should be a valid name. These are the 3 points in the triangle afterall.

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<h2>It's <u>1849</u></h2>

I'll explain how I found it without actual multiplication,

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So,

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Hope this will help....

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x = 17 is the answer.
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Answer:

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Step-by-step explanation:

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