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Aleksandr-060686 [28]
3 years ago
14

**50 points Once again and brainliest** Please hurry ;w;

Mathematics
2 answers:
Pachacha [2.7K]3 years ago
5 0

Answer:

Part A:

Two types of translation are;

1) Horizontal translation left T(0, 8),

2) Vertical translation T(16, 0)

Part B:

For the horizontal translation transformation, k = 8

For the vertical translation transformation, k = 16

Part C:

For the horizontal translation transformation, the equation is f(x + 8) = g(x)

For the vertical translation transformation, the equation is f(x) + 16 = g(x)

Step-by-step explanation:

guajiro [1.7K]3 years ago
3 0

Answer:

see below

Step-by-step explanation:

Part A

We can shift f(x) up to g(x)

or we can shift f(x) to the left into g(x)

Part B

y = f(x) + k  k > 0 moves it up

f(x) goes from -1 to 17 for a distance of 18 units

We are moving up 18 units

k = 18

y = f(x + k) k> 0 moves it left

We are moving to the left from 0 to -6 units for a distance of 6 units

k = 6

Part C

Up:

g(x) = f(x) +18

Left:

g(x) = f(x+6)

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Answer:

See attached image for the graph of the function

Step-by-step explanation:

Notice that this is the product of a power function (4x^2) times the trigonometric and periodic function cos(x). So the zeros (crossings of the x axis will be driven by the values at which they independently give zero. That is the roots of the power function (only x=0) and the many roots of the cos function: x= \frac{\pi}{2} , \frac{3\pi}{2} ,..., and their nagetiva values.

Notice that the blue curve in the graph represents the original function f(x), with its appropriate zeros (crossings of the x-axis), while the orange trace is that of "-f(x)". Of course for both the zeroes will be the same, while the rest of the curves will be the reflection over the x-axis since one is the negative of the other.

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3 years ago
Cynthia Besch wants to buy a rug for a room that is 23 ft wide and 33 ft long. She wants to leave a uniform strip of floor aroun
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Answer:

Step-by-step explanation:

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3 years ago
25. Point A on a coordinate grid is at (3, 4). If the point is reflected across the line
Nutka1998 [239]

Using translation concepts, the images of the points are given as follows:

25. (4,3).

26. (3,1).

<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 rule for a reflection across y = x is given by:

(x,y) -> (y,x).

Hence, in item 25:

The image of (3,4) is (4,3).

The rule for a reflection across y = -x is given by:

(x,y) -> (y,-x).

Hence, in item 26:

The image of (-1,3) is (3,1).

More can be learned about translation concepts at brainly.com/question/28373831

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(28) (30) = 4x

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4 years ago
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