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borishaifa [10]
1 year ago
11

Which function is a translation of the parent absolute value function?f(x) = 2X1 f(x) = (x+61f(x) = |x|F(x) = -4X1

Mathematics
1 answer:
artcher [175]1 year ago
8 0

Answer

Explanation

Translations move the parent function toward the left, right, downwards or upwards.

f(x) = 2 |x|

This stretches the function by a factor of 2, hence, it is not a translation.

f(x) = |x + 6|

This translates the parent absolut value functio

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the sides of a rectangle are in the ratio 2:5. if the longer side of the rectangle is 25.5 in., what are it's width, perimeter,
Ad libitum [116K]

Answer: The width of the rectangle is 10.2 inches, the perimeter is 71.4 inches,  the area is 260.1 inches.

Step-by-step explanation:

25.5/5=5.1

5.1*2=10.2

The width is 10.2 inches

25.5*2+10.2*2=71.4

The perimeter is 71.4 inches

20.5*10.2=260.1

The area is 260.1

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Which of the following is a function? A. (-4,5) (3,-3) (4,1) (9,2) B. (-4,3) (3,2) (-4,-5) (9,0)
iren [92.7K]
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1. 7x-40
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What is the domain of this exponential function? y=2x
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Step-by-step explanation:

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8 0
3 years ago
1) After a dilation, (-60, 15) is the image of (-12, 3). What are the coordinates of the image of (-2,-7) after the same dilatio
BARSIC [14]

Answer:

a) k = 5; (-10, -35)

Step-by-step explanation:

Given:

Co-ordinates:

Pre-Image = (-12,3)

After dilation

Image = (-60,15)

The dilation about the origin can be given as :

Pre-Image(x,y)\rightarrow Image(kx,ky)

where k represents the scalar factor.

We can find value of k for the given co-ordinates by finding the ratio of x or y co-ordinates of the image and pre-image.

k=\frac{Image}{Pre-Image}

For the given co-ordinates.

Pre-Image = (-12,3)

Image = (-60,15)

The value of k=\frac{-60}{-12}=5

or k=\frac{15}{3}=5

As we get k=5 for both ratios i.e of x and  y co-ordinates, so we can say the image has been dilated by a factor of 5 about the origin.

To find the image of (-2,-7), after same dilation, we will multiply the co-ordinates with the scalar factor.

Pre-Image(-2,-7)\rightarrow Image((-2\times5),(-7\times 5))

Pre-Image(-2,-7)\rightarrow Image(-10,-35) (Answer)

7 0
3 years ago
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