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Sergio [31]
2 years ago
14

The parent function, f(x) = 5x, has been vertically compressed by a factor of one-half, shifted to the right three units and up

two units.

Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
7 0

I'm guessing you want to know what the new function looks like.

Compression takes place when you have a function that constant is between 0 and 1

so f(x) = 1/2 5x We'd best not do any more to it for now because it will be altered by the next two transformations.

You want to shift this to the right two units.

That means f(x-2) will bu put into x on the right. You will get

f(x - 2) = 1/2*5(x - 2)

Finally, we want to go up 2 units.  That's done by adding another term on what we have already.

f(x -2)  = 1/2 * 5(x - 2) + 2

A line is not a very good example to be showing these transformations. I'll include a graph.

The red line is f(x) = 5x

The blue line is f(x - 2) = 1/2 * 5(x -2) + 2

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Jason bought a car for $12500. According to the insurance company, the value of the car depreciates by 7% each year. What will t
Orlov [11]

Answer:

8696.10

Step-by-step explanation:

If a car depreciates by 7% each year, this means that 7% of its value that year is subtracted from its previous value. In other words, you can multiply its value by (1-0.07)=0.93.

12500\cdot 0.93^5\approx 8696.10. Hope this helps!

3 0
3 years ago
a circular garden has a diameter of 12 feet. what is the best approximation for the circumference of the garden? use 3.14 to app
Nuetrik [128]

Answer:

37.68

Step-by-step explanation:

C(circumference)= 2pi r

If the diameter is 12, the r adius is 6

plug into equation

2(pi)(6)

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3 0
3 years ago
In order to make green paint a 2:3 ratio of blue paint and yellow paint is used.If there are 30 ounces of green paint how many o
gladu [14]

Answer:

There are 30 ounce of green paint 18 ounces blue paint was needed.

Step-by-step explanation:

Given that,

In order to make green paint a 2:3 ratio of blue paint and yellow paint is used.

Assume 2x blue paint and 3x yellow paint required to make 30 ounce of green paint.

According to the problem,

2x+3x=30

⇒5x=30

\Rightarrow x=\frac {30}{5}

⇒ x=6

The amount of blue paint is = 2×6

                                              =12 ounces

The amount yellow paint is = (3×6)

                                            = 18 ounces

There are 30 ounce of green paint 18 ounces blue paint was needed.

6 0
2 years ago
PLEASE HELP OUT!!! im super lost.
Alex73 [517]

Just replace X with the given value.

X = -3

f(-3) = 5 -  (-3)

f(-3) = 5 +3

f(-3) = 8

3 0
2 years ago
Find the great is perfect square of 244
IgorLugansk [536]
I hope this helps you



244=4.61


2square roof 61
7 0
3 years ago
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