which statements describe transformations performed in f (x) = x^2 to create g (x) = 2x^2 + 5? select all that apply.
a. a vertical stretch with a scale factor of .5
b. a translation of 5 units to the right.
c. a translation of 5 units up.
d. a vertical stretch with a scale factor of 2.

Answers

Answer 1

Answer:

The statements describe transformations performed in f(x) to create g(x) are:

a translation of 5 units up ⇒ c

a vertical stretch with a scale factor of 2 ⇒ d

Step-by-step explanation:

If f(x) stretched vertically by a scale factor m, then its image g(x) = m·f(x)If f(x) translated vertically k units, then its image h(x) = f(x) + k

Let us use these rule to solve the question

f(x) = x²

∵ g(x) is created from f(x) by some transformation

g(x) = 2x² + 5

→ Substitute x² by f(x) in g(x)

g(x) = 2f(x) + 5

→ Compare it with the rules above

m = 2 and k = 5

→ That means f(x) is stretched vertically and translated up

f(x) is stretched vertically by scal factor 2

f(x) is translated 5 uints up

The statements describe transformations performed in f(x) to create g(x) are:

a translation of 5 units upa vertical stretch with a scale factor of 2

Related Questions

Which expression is equivalent to

420d2 - 126d?

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Answer:

42d(10d-3)

Step-by-step explanation:

what is 273.85 * 7? I really need this

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the answer is 1,916.95

find the conjugate of 4-√15

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Answer:

4 + √15

Step-by-step explanation:

Conjugate means flip the sign. For example, 1 + 1 ⇒ 1 - 1.

Pls answer if u do know

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I think that it is the 3rd one.

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answer: 263.46
1,238.46-975

Answer:

Step-by-step explanation:

   1, 238.46 total money

-      975.00 money spent

-------------------

      263.46

(h º g º f)(x)?

2x3 + 1
8x3 + 9x + 1
8x3 + 12x2 + 6x + 1
8x3 + 24x2 + 24x + 8

Answers

Answer:

First one is A. [tex]2x^{3} + 1[/tex]

Second one is D. [tex]8x^{3} + 24x^{2} +24x + 8[/tex]

Step-by-step explanation:

Edge 2020

Answer:

d on edge

Step-by-step explanation:

0.3 × 4.24
help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

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Step-by-step explanation:

1.272

this is the answer

Answer:

1.272

Step-by-step explanation:

☺️☺️☺️☺️☺️☺️☺️

Easy math problems!!!!

Answers

Omaga what is that
Att: Cardi b okrrrrrr

Answer:

845

Step-by-step explanation:

ehjfuilgi

PLEASE ANSWER CORRECTLY! I WILL MARK BRAINLIEST! I really need an answer!


Dashawn solves the following system of equations using the elimination method.

3x−4y=36
5x+2y=8

What value does he correctly determine for x?

Enter you answer in the box.

x =

Answers

C I think................

Cassandra works at a bookstore. Yesterday, she sold 18 hardcover books. The rest of the books she sold were paperback books. She sold a total of 41 books. How many paperback books did she sell?

Use the variable p to represent the number of paperback books Cassandra sold yesterday.

Which equation represents this situation and its solution?


A) p + 18 = 41; p = 23

B) 41p = 18; p = 23

C) p + 41 = 18; p = 23

D) 18p = 41; p = 23


PLEASE HELP!!!

Answers

Answer:

A

Step-by-step explanation:

if you take 23 and put it in for p 18+23=41

Can someone help please, i really get confused with equations, please step by step explanation

Answers

Answer: PR equals 6x-2 and x=6.

Step-by-step explanation: Try drawing a diagram to better visualize this, add both the equations, (2x+5)+(4x-7). Be careful of the negative, distribute properly. You should get 2x+5+4x-7 which becomes 6x-2. And finally since they have a midpoint between, both equations are equal to each other. So 2x+5=4x-7. Which should give you x=6.

if akayla painted 1/3 of a wall in 20 minutes how long will it take her to paint 4 walls

Answers

Answer:

240 minute or 4 hours

Step-by-step explanation:

We can use a ratio to solve

1/3 wall           4 walls

-------------  = ----------------

20 minutes      x minutes

Using cross products

1/3 x = 20 *4

1/3 x = 80

Multiple each side by 3

1/3 x* 3 = 80*3

x = 240 minutes

Divide each side by 60 to change to hours

x = 240/60

x = 4 hours

Please anyone help me Several friends went out
to eat lunch together.
Sharon offered to pay
1/3 of the total cost. If
the total cost was $46.
about how much
did Sharon pay?

Answers

Explanation:

Sharon offered to pay 1/3 of the total cost.

Total cost = $46

1/3 of $46 = [tex] \frac{1}{3} \times 46 = 15.33 \: (approx.)[/tex]

Answer:

Sharon paid $15.33

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Based on the containers and the items, the correct matches are:

Rate:

5 bottles for $5$1.00 per 16 ounces

Unit Rate:

$0.06 for 1 ounces 24 bottles per case 16 ounces per bottle

Neither:

36 bottles

What is the unit rate?

The unit rate refers to the quantity per unit of the item in question. The quantity per case of bottles is 24 bottles and the cost per ounce for the item is $0.06.

Rate on the other hand shows the ratio between two items. For instance, one can get 5 bottles for $5 and one can get 16 ounces of the item for $1.00.

Find out more on unit rate at https://brainly.com/question/19493296

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Can someone help me with this.

Answers

The composite functions are listed below:

g ° f(3) = 29 g ° f(x + 1) = 2 · x² - 1 h ° g (- 3 · x) = - 36 · x - 36 f ° g (- 2 - t) = 73 + 72 · t + 16 · t² f ° g (x²) = 3 · x² + 17

How to evaluate composite functions

In this problem we find five cases of composite functions, each of which has to be evaluated. A composition between the two functions f and g is defined below:

f ° g(x) = f ( g(x) )

Now we proceed to evaluate each of the five cases by using algebra properties and the definition of the composition of functions:

Case 1

g ° f(3) = g( f(3) )

g ° f(3) = 4 · (2 · 3 + 2) - 3

g ° f(3) = 4 · 8 - 3

g ° f(3) = 29

Case 2

g ° f(x + 1) = g( f(x + 1) )

g ° f(x + 1) = 2 · [(x + 1)² - 2 · (x + 1)] + 1

g ° f(x + 1) = 2 · (x² + 2 · x + 1 - 2 · x - 2) + 1

g ° f(x + 1) = 2 · (x² - 1) + 1

g ° f(x + 1) = 2 · x² - 1

Case 3

h ° g (- 3 · x) = h( g (- 3 · x) )

h ° g (- 3 · x) = 3 · [4 · (- 3 · x) - 3]

h ° g (- 3 · x) = 3 · (- 12 · x - 12)

h ° g (- 3 · x) = - 36 · x - 36

Case 4

f ° g (- 2 - t) = f( g (- 2 - t))

f ° g (- 2 - t) = [4 · (- 2 - t) - 2]² + 1 + 2 · [4 · (- 2 - t) - 2]

f ° g (- 2 - t) = (- 8 - 4 · t - 2)² + 1 + 2 · (- 8 - 4 · t - 2)

f ° g (- 2 - t) = (- 10 - 4 · t)² + 1 + 2 · (- 10 - 4 · t)

f ° g (- 2 - t) = 100 + 80 · t + 16 · t² + 1 - 20 - 8 · t

f ° g (- 2 - t) = 73 + 72 · t + 16 · t²

Case 5

f ° g (x²) = f( g(x) )

f ° g (x²) = 3 · (x² + 4) + 5

f ° g (x²) = 3 · x² + 12 + 5

f ° g (x²) = 3 · x² + 17

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Indicate the answer choice that best completes the statement or answers the
question.
Which point is closest to 29 on the number line?
А
B
с
D
0
1
2 3 4 5 6 7 8
9 10
Oa. A
Oь. С
Oc.D
Od. B

Answers

Answer:

option d

Step-by-step explanation:

root of 29 = 5.39 (rounded)

in the line, point B is closest to that value.

A satellite dish is the shape of a paraboloid. The dish is 38 inches wide, and 10 inches deep. How many inches should the receiver be located from the vertex for optimal reception? (round to the nearest thousandth)

Answers

Answer:

9 in approx

Step-by-step explanation:

Step one:

given data

the shape of the satellite dish takes the form of a paraboloid.

the diameter of the dish is 38in wide

and 10 inches deep.

step two:

The expression for the paraboloid is

[tex]4ay=x^2[/tex]

where y is the vertical axis of the  paraboloid

a is vertex to focus.

and x is the radius of the dish

x= 38/2= 19in

substituting we have

[tex]4a10 =19^2\\\\40a=361 \\\\[/tex]

divide both sides by 40

[tex]a=361/40\\\\a=9.025[/tex]

vertex to focus= 9 in approx

Answer:Step-by-step explanation:Answer:9 in approxStep-by-step explanation:Step one:given datathe shape of the satellite dish takes the form of a paraboloid.the diameter of the dish is 38in wideand 10 inches deep.step two:The expression for the paraboloid iswhere y is the vertical axis of the  paraboloida is vertex to focus.and x is the radius of the dishx= 38/2= 19insubstituting we havedivide both sides by 40vertex to focus= 9 in approx

why you tube is not working​

Answers

It is working

Have a great day

On a computer screen, Jennifer just created a triangular design of banner with vertices at A (-4,3) B(-1,5) and C (-1,2) she can use the computer software to perform transformations on this design. Which sequence of two transformations could she perform so that the transformed vertices become A (4,-5) , B (7,-7) and c (7,-4)

Answers

Answer:

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are dilation, reflection, translation and rotation.

Given the vertices A (-4,3) B(-1,5) and C (-1,2).

If the vertices is reflected across the y = -1 line, the new location would be at:

A' (-4, -5). B'(-1, -7) and C'(-1, -4)

If it is then translated 8 units to the right i.e. (x, y) ⇒ (x + 8, y), the new location would be at:

A"(4, 5), B"(7, -7) and C"(7, -4)

Can someone pls help me w this paper. PLEASEEEEE

Answers

Answer:

22 for num 5

Step-by-step explanation:

Which of the following graphs the equation.
Y=1/3x -2

Answers

Answer:

I don't know your answer options, but this is what the graph would look like:

**please mark brainliest!!

a. when u and v are nonzero​ vectors, ​span{u​,v​} contains only the line through u and the line through v and the origin.

Answers

Span{u, v} contains the lines through u and v. But Span{u, v} also contains u + v which does not lie on either line.

A vector basic definition What is it?

A quantity or phenomena with independent qualities for both magnitude and direction is called a vector. The term can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.

False, If the vectors are said to span, then they encompass the area enclosed by au + bv, where a and b are real values. The line between u + v and the origin is a straightforward counterexample. This would be referred to as a plane via u, v, and the origin since it contains all possible combinations of u and v as well as multiples of each.

Learn more about vector

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Help me please.......

Answers

Find the volum of the and minus pi x2.5 squared x4
Volume of prism= length * width * height
= 10*4*7
= 320cm^3

Volume of cylinder= pi*r^2 * height
Therefore
2.5^2 *pi *4
Hence area is = 78.54 (to 2 decimal places)

Subtract area of cylinder from area or prism
You get= 241.46cm^3

if 2+2 is 4 what is 3-c+46yw9

Answers

Answer:

49392=2×2×2×2×3×3×7×7×7

=2

4

×3

2

×7

3

∴49392=2

4

×3

2

×7

3

Given, 49392=a

4

×b

2

×c

3

comparing both, we get,

a=2,b=3,c=7

Can someone please help me with proofs!

Answers

2) AE is congruent to EC, BE is congruent to ED (a bisector splits a segment into two congruent parts)

3) Angle AEB is congruent to angle DEC (vertical angles are congruent)

4) Triangle ABE is congruent to triangle CDE (SAS)

in Mateo's grade, there are 100 students, Currently, 25% of them are enrolled in health, How
many students are enrolled in health?

Answers

Answer:25

Step-by-step explanation:

Answer:

25!

Step-by-step explanation:

Whenever multiplying by a percentage, you always take the whole number and multiply it by the decimal amount of the number. In this case, 25% is equivalent to 1/4 of an amount, so there would be 25 students enrolled in health. I hope this helped! <3

Brainliest for whoever gets this right

Answers

Answer:

it is 145 degrees.

Step-by-step explanation:

since the angle at the centre of an arc will be twice the angle produced at any point in the circle. hence double the angle of 35 will be 70. then reflex angle of it will give us 290. hence half of 290 is 145 degree.

Answer:

145 degrees

Step-by-step explanation:

Hope this helped have an amazing day!

I got a question sooo​

Answers

Answer:

5x +2=17

I hope I helped have an amazingg day

how are u pls answer Me guys i will get a bad grade pls answer meeee​

Answers

Answer:

i am great thank u how are u?

Step-by-step explanation:

Select the equation in point-slope form for the line that passes through the point (1, -1) and has a slope of 4.
Ay+ 1 = 4x - 1
B. y - 1 = 4x + 1
Cy-1 = 4(x + 1)
Dy+1 = 4(x - 1)

Answers

Answer:

D. y+1=4(x-1)

Step-by-step explanation:

look up point slope form equation

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