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fredd [130]
3 years ago
11

Which statement is true about the effects of the transformations on the graph of function f to obtain the graph of function g. g

(x) = f(x − 3) + 4 A. The graph of function f is shifted right 3 units and up 4 units. B. The graph of function f is shifted right 3 units and down 4 units. C. The graph of function f is shifted left 3 units and down 4 units. D. The graph of function f is shifted left 3 units and up 4 units. Reset Next
Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
5 0

The option (A) "The graph of function f is shifted right 3 units and up 4 units. " is correct.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a transformation function:

g(x) = f(x - 3) + 4

The parent function is f(x).

First transformation:

x → (x - 3)

The function will shift right by 3 units.

Second transformation:

Add 4 to the function:

g(x) = f(x - 3) + 4

The function will shift up by 4 units.

Thus, the option (A) "The graph of function f is shifted right 3 units and up 4 units. " is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

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If x = 4, y = 2 and z = 1 then xz (4y - 2z) is
riadik2000 [5.3K]

the answer will be 46 Barnabee

3 0
3 years ago
A flagpole stands atop a building. From a point 10' away from the base of a building, the angles of elevation of the top and bot
Debora [2.8K]

Answer:

  building: 51.4 ft

  flagpole: 5.3 ft

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

If we let b and p represent the heights of the building and flagpole, respectively, then we can write two equations using the tangent relation:

  tan(79°) = b/10

  tan(80°) = (b +p)/10

Multiplying these equations by 10 gives the values we're interested in.

  b = 10·tan(79°) ≈ 51.4 . . . feet

  b +p = 10·tan(80°) ≈ 56.7 . . . feet

Then the height of the flagpole is ...

  p = (b+p) -b = (56.7 ft) -(51.4 ft) = 5.3 ft

The building is 51.4 ft tall.

The flagpole is 5.3 ft tall.

4 0
3 years ago
The area of an circle with 300 radius and an diameter of 600
loris [4]

The area of an circle with radius equal to 300 is 90000π (282743.34).

<h3>Area of Circle</h3>

The area of circle can be found from the formula: A=πR², where R is the radius. It is important to know that the radius is equal to two times the value of diameter (D=R/2).

The question gives:

Diameter= 600 therefore the Radius is D/2=600/2=300.

Thus, the area of circle will be:

A=πR²

A=π300²

A=90000π, as π=3.14159.... you can write:

A=90000 * 3.14159

A=282743.34

Read more about the area of the circle here:

brainly.com/question/14068861

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3 0
2 years ago
If the location you want to go is 270 miles away and you want to get there in 4.5 hours, at what constant speed do you need to d
madreJ [45]
The units of speed are miles per hour. You get that by dividing miles by hours:
  (270 mi)/(4.5 h) = 60 mi/h
4 0
4 years ago
Read 2 more answers
If y=2x+7 were changed to y=5x+7 how would the graph of the new function compare with the original?
creativ13 [48]

Answer:

If y=2x+7 were changed to y=5x+7, then the graph of the new function would be steeper than the graph of the original function. On the other hand, the y-intercept would be unchanged; ( 0, 7)

Step-by-step explanation:

If y=2x+7 were changed to y=5x+7, then the graph of the new function would be steeper than the graph of the original function. On the other hand, the y-intercept would be unchanged; ( 0, 7)

3 0
3 years ago
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