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3 years ago

How does the graph of g(x)= 1/x-5+2 compared to the graph of the parent function f(x)=1/x?

Mathematics

1 answer:

Finger [1]3 years ago

3 0

Answer: The graph is shifted to the right by 5 units and shifted up from the parent function.

Step-by-step explanation:

1. By definition, a parent function is the simplest form of a function.

2. You have the following parent function given in the problem:

$f(x)=\frac{1}{x}$

2. The function g(x) is obtained from the function f(x)

$g(x)=\frac{1}{x-5}+2$

Where the subtraction of 5 indicates the horizotanl shift to the left and the addition of 2 indicates the vertical shift up.

3. Therefore, keeping the information above on mind, you can conclude that the answer is: the graph is shifted to the right by 5 units and shifted up from the parent function.

You might be interested in

A large rock (mass = 4.0 kg) moving at a velocity of 2.0 m/s has a momentum of _______ kg*m/s

Elodia [21]

Step-by-step explanation:

❁ $\underline{ \underline{ \text{Given} }}:$

Mass of a large rock ( m ) = 4.0 kg
Velocity ( v ) = 2.0 m/s

❁ $\underline{ \underline{ \text{ \: To \: find}}}:$

Momentum ( p )

✑ $\underline{ \underline{ \text{Solution}}} :$

$\boxed{ \underline{ \sf{Momentum \: = \: mass \: \times \: velocity}}}$

plug the known values :

⟹ $\sf{Momentum = 4.0 \: kg \: \times \: 2.0 \:m/s }$

⟹ $\sf{Momentum = 8 \: kg \: m/s}$

$\red{ \boxed{ \boxed{ \tt{⟿ \: Our \: final \: answer : \bold{ \underline{8} }\: kg*m/s}}}}$

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✑ $\underline{ \underline{ \text{Learn \: more about \: momentum}}}:$

Imagine that a car and a truck both have the same speed on the road. Which one can stop easily ? Of course , it is hard to stop the truck relative to the car. The reason is that the car and the truck have the same speed bit different masses. Thus , we can say that to stop a heavier body is harder than to stop a lighter one even both of them have the same speed.

If two tennis balls are hit towards you in different velocities , it is not equally easier to stop them. The ball in more velocity is difficult to stop relatively. Thus , we can say that to stop a body in more velocity is harder than to stop a body with less velocity , eventhough they have the same speed.

The physical quantity that describes the quantity of motion of a body is called momentum. The momentum of a moving body or linear momentum is defined as the product of mass & velocity of a moving body.

Mathematically ,

Momentum = mass × velocity

i.e p = m × v

The SI unit of momentum is kg • m/s. Since velocity is a vector quantity and multiplied with mass ( scalar quantity) , momentum becomes a vector quantity. Direction of momentum is the same as velocity.

Hope I helped ! ♡

Have a wonderful day / night ツ

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7 0

3 years ago

Jenna's class brought in 40 pieces of fruit for a celebration and 32 pieces of fruit were eaten. What percentage of the fruit wa

Pepsi [2]

Answer:

20%

Step-by-step explanation:

40 pieces total

32 pieces eaten