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Olegator [25]
2 years ago
6

Question 6(Multiple Choice Worth 1 points)

Mathematics
1 answer:
Vaselesa [24]2 years ago
7 0

Using translation concepts, the correct option is given as follows:

The graph of f(x) is shifted to the right to create g(x).

<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.

For this problem, the functions are given as follows:

  • f(x) = |x|.
  • g(x) = |x - 31|.

That is, g(x) = f(x - 31), hence the function was shifted <u>31 units to the right</u> and the correct option is given by:

The graph of f(x) is shifted to the right to create g(x).

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

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Given points A(-1, -2) and B(2, 4) where AP: BP=1:2, find the locus of point P.​
koban [17]

Answer:

x^2 + 4x + y^2 +8y  =  0

Step-by-step explanation:

Given

A = (-1,-2)

B = (2,4)

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Required

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AP:BP = 1 : 2

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Cross multiply

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Calculate AP and BP using the following distance formula:

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2 * \sqrt{(x +1)^2 + (y +2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}

Take square of both sides

4 * [(x +1)^2 + (y +2)^2] = (x - 2)^2 + (y - 4)^2

Evaluate all squares

4 * [x^2 + 2x + 1 + y^2 +4y + 4] = x^2 - 4x + 4 + y^2 - 8y + 16

Collect and evaluate like terms

4 * [x^2 + 2x + y^2 +4y + 5] = x^2 - 4x + y^2 - 8y + 20

Open brackets

4x^2 + 8x + 4y^2 +16y + 20 = x^2 - 4x + y^2 - 8y + 20

Collect like terms

4x^2 - x^2 + 8x + 4x + 4y^2 -y^2 +16y + 8y  + 20 - 20 =  0

3x^2 + 12x + 3y^2 +24y  =  0

Divide through by 3

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HWUQUQIIQIWISIA

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-3/4 + (-3/4)<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%203%7D%7B4%7D%20%20%2B%20%20%5Cfrac%7B%20-%203%7D%7B4%7D%20
nika2105 [10]

Firstly, since these two fractions have the same denominator, add the numerators up: \frac{-6}{4}

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