Suppose g(x) = f( x +2) - 3. Which statement best compares the graph of g(x) with the graph of f(x)? A. The graph of g(x) is shifted 2 units left and 3 units up. B. The graph of g(x) is shifted 2 units right and 3 units down. C. The graph of g(x) is shifted 2 units left and 3 units down. D. The graph of g(x) is shifted 2 units right and 3 units up.

Answers

Answer 1

Given:

The function is:

[tex]g(x)=f(x+2)-3[/tex]

To find:

The statement that best compares the graph of g(x) with the graph of f(x).

Solution:

The transformation is defined as

[tex]g(x)=f(x+a)+b[/tex]                .... (i)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

We have,

[tex]g(x)=f(x+2)-3[/tex]               ...(ii)

On comparing (i) and (ii), we get

[tex]a=2[/tex]

[tex]b=-3[/tex]

Therefore, the graph of g(x) is shifted 2 units left and 3 units down.

Hence, the correct option is C.


Related Questions

1/3x+80=1/2x+120 what’s the answer??

Answers

Answer:

−240

1/3x+80=1/2x+120

HURRY PLS!

Evaluate if a= 4 and b=7
28÷ b+7

A. 14
B. 11

Answers

Step-by-step explanation:

Hi, I think correct variant is B

(28÷7)+7=4+7=11

can you help me solve​

Answers

Answer:

A

Step-by-step explanation:

2^2 - 2 = 2

3^2 - 2 = 7

1^2 - 2 = -1

-1^2 - 2 = -1

Which equation is an example of the identity property of addition?
O A. 6.5 = 1
O B. 6+0= 6
O C. 6+(-6)=0
O D. 6.1= 6
HELPPP! ILL GIVE BRAINNLIST

Answers

Answer:

B.

Step-by-step explanation:

Adding 0 to 6 gives the same value (6).

Zero is called the Identity element of Addition,

I need help plz it’s due tonight !!!!!!!

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Answer:

hmm it's like ut I do know and my answer

help i dont know how to do the rest of this homework

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Answer:

Step-by-step explanation:108 divided by 12 equals 9 so nine feet next to 108 inches.

and nine divided by 3 is 3 so nine yards in the row with 108 inches.

360 divided by 12 which is 30 so 30 feet in the row with 360 inches.

90 feet divided by three so 30 so 30 yards in the row with 360 inches.

24 inches equals 2 feet

double this length is 48 inches or 4 feet

so in all he cut 6 yards and since he only had three yards you will still have  3 yards left over.

In this triangle, cosA/cosB=

Answers

Answer:

1

Step-by-step explanation:

In sohcahtoa:

Cos (c) = adjacent (a) / hypotenuse (h)

cosA = adjacent / hypotenuse. The hypotenuse is 4.24 (the side opposite the right angle) and the side next to A is 3, so cosA = 3/4.24

cosB = adjacent/hypotenuse. The side next to B is 3, so cosB = 3/4.24 as well

Therefore, cosA = cosB

cosA/cosB = cosA/cosA = 1

Estimate 47 divided by 1/2

Answers

Answer : 94

Step by Step :

47/0.5=94

Three times the sum of a number and 7 is equivalent to 57.

Answers

Answer:

3(x+7)=57

Step-by-step explanation:

3 is being multiplied by "the sum of a number(or x) and 7". So, we write it as 3(x+7). That is equal to 57, so that makes the expression 3(x+7)=57.

-hope it helps

Equivalent expressions are expressions that have the same values.

The expression is [tex]3(x + 7) = 57[/tex] and the number is 12

Represent the number with x.

So, the sum of a number (x) and 7 would be represented as: x + 7

Three times the sum would be represented as: 3(x + 7)

This expression is equivalent to 57.

So, we have:

[tex]3(x + 7) = 57[/tex]

Divide both sides of the equation by 57

[tex]x + 7 = 19[/tex]

Subtract 7 from both sides of the equation

[tex]x + 7 - 7 = 19 - 7[/tex]

[tex]x = 12[/tex]

Hence, the number is 12

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Which is true? A 0.9919 > 0.999 B 1.4359 < 1.446 C 2.6953 = 2.75 D 4. 9395 > 5.0

Answers

Option B. is true.

A isn't true because 0.9919 is lesser than 0.999.C is false because 2.6953 is lesser than 2.75. They are not equal.D is also false because 4.9395 is not greater than 5.0.

Answer:

B. 1.4359 < 1.446

Hope you could get an idea from here.

Doubt clarification - use comment section.

What is the equation for the graph shown?

Answers

Answer: y=2/3x+4

Step-by-step explanation:

this will be written out in y=mx+b form. M stands for the slope, and b stands for the y-intercept, or where the line intersects with the y-axis.

going left to right, the line slopes upward, therefore it is a positive slope. This means that the “m” part of the equation will be a positive number. When finding the slope, we use rise over run. On your graph, if you take one point and rise 2, then run right 3, you will find another point! We have now found that the slope is 2/3x.

let’s plug this into our equation. Y=2/3x +b

lastly, we find the y-intercept. This is simply where the line intersects with the y-axis. In this case, it is positive 4. So the y-intercept is 4.

our final equation is: y=2/3x +4

i hope this is helpful.

What is -27/8×7/10
Because odbeoqhqbebebsns

Answers

The answer to this problem is going to be -2.3625

458 divided by 31 using compatible numbers

Answers

14.77

458 / 31 = 14.77

It is actually a rational answer meaning it continues to go in terms (and doesn't stop) so I only included the smallest decimal degits in the answer.

Answer: 14

Step-by-step explanation:

 0 1 4

 3 1 ⟌ 4 5 8

     - 0    

       4 5  

     - 3 1  

       1 4 8

     - 1 2 4

         2 4

22) A corporate charter specifies that the company may issue up to 20 million shares of stock. The company sells 12 million shares to investors and later buys back 3 million shares. The current number of shares of treasury stock after these transactions have been accounted for is:

Answers

Answer:

  11 million

Step-by-step explanation:

20 -12 +3 = 11

There will be 11 million shares of stock in the treasury.

I need help please I can’t fail this

Answers

Answer:

200

Step-by-step explanation:

200 - 35% = 130

130 + 70 = 200

I need help asap!! pls pls PLS help

Answers

Answer:

Step-by-step explanation:

It's the third choice. Since the triangles are given as similar and they are right triangles, points A, B, and D are all on the hypotenuses of those 2 triangles and are co-linear. The slope between all points on a single line is constant.

2 + 2 = ?
1 + 1 = ?
6 - 3 = ?

Answers

Answer:

4

2

3

Step-by-step explanation:

Answer:

4

2

3

Step-by-step explanation:

2+2=4

1+1=2

6-3=3

welcomeeee:)

The quotient of 2 numbers, p and q

A: pq

B: p+q

C: p/q

D: p - q

Answers

Answer:

b

Step-by-step explanation:

pls pls pls mark me as brainliest

Answer:

C: p/q

Step-by-step explanation:

Quotient is the result of dividing two numbers so C would be the best answer

Hope this helps! :D

can you find the error?

Answers

Both step 1 and step 2 were correct with the process of moving the value of x into the place of x and continuing to solve. However, step 3 is incorrect because when it is a negative value being subtracted by another negative value, it remains a negative. So the answer is -14 instead of 14.

Answer:

-32 - 8 = -40

Step-by-step explanation: basicly for 1 instead of putting 3 and 2 together he multiplyed then minus 8

then for 2 he did -6 and -8

then: 14............

y=(x^4)-(6^3)+(50x^2)+122x=65
find the zeros

Answers

Answer: I worked at the pizza place in Chucky cheese since i was little. I grew up and became manager. Then i sabotaged everyone there. I’m gonna cry right now . miss that job so much. I think I might….

If △CFE≅△PTR, complete each of the following statements:

CE¯¯¯¯¯¯¯¯ ≅

TR¯¯¯¯¯¯¯ ≅


∠P ≅∠

∠F ≅∠


△FEC ≅△

△RPT ≅△

Answers

Based on the definition of congruent triangles, the statements will be completed as follows:

CE ≅ PRTR ≅ FE∠P ≅ ∠C∠F ≅ ∠T△FEC ≅ △TRP△RPT ≅ △ECF

Recall the following about Congruent Triangles:

The three angles of one triangle is congruent to the three corresponding angles in another triangle if both triangles are congruent triangles.The three sides of one triangle is congruent to the three corresponding sides in another triangle if both triangles are congruent triangles.

Given that △CFE≅△PTR, thus:

CE corresponds to PR, therefore CE ≅ PRFE corresponds to TR, therefore FE ≅ TRCF corresponds to PT, therefore CF ≅ PT∠P corresponds to ∠C, therefore ∠P ≅ ∠C∠T corresponds to ∠F, therefore ∠T ≅ ∠F∠R corresponds to ∠E, therefore ∠R ≅ ∠E

Thus, based on the definition of congruent triangles, the statements will be completed as follows:

CE ≅ PRTR ≅ FE∠P ≅ ∠C∠F ≅ ∠T△FEC ≅ △TRP△RPT ≅ △ECF

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The container hold 1/2 gallon of water. It is 3/4 full. How many gallons of water are in the container?

Answers

Based on the capacity of the container and the capacity currently being used, the amount of water in the container is 3/8 gallons.

The container is capable of holding 1/2 gallons of water.

If it is holding 3/4 of that 1/2 gallons, the amount of water it would be holding is:

= Capacity of container x Percentage full

= 1/2 x 3/4

= 3/8 gallons of water

In conclusion, the container is currently holding 3/8 gallons of water.

Find out more about this at https://brainly.com/question/11459708.

Jack’s school bag contains 8 books each of weight 3/8 pounds, and 6 folders of weight 1/2 pound. b) What fraction of the total weight is folders?

Answers

Answer:

6 pounds

Step-by-step explanation:

3/8×8/1=24/8=3

6/1×1/2=6/2=3

3+3=6

Malia bought shell beads and glass beads to weave into designs in her baskets. She bought 1/4 pound of shell beads and 3/8 pound of glass beads. How many pounds of beads did she buy?

Answers

Answer: 5/8

Step-by-step explanation:

To do this you have to add the weight of each purchase

[tex]\frac{1}{4} +\frac{3}{8}[/tex]

But in order to add them together, there has to be a common denominator.

In order to do this, you can multiply both the numerator and denominator of 1/4 by 2 to get a denominator of 8 as seen below:

[tex]\frac{1}{4}*\frac{2}{2} = \frac{2}{8}[/tex]

Now you can add them to get your final answer: When you are adding fractions with common denominators, simply add the numerators together and keep the denominator.

[tex]\frac{2}{8}+\frac{3}{8} = \frac{5}{8}[/tex]

A hiker maintains an average speed of 3 3/4 km/h. How many kilometers will the hiker walk in 5 hours

Answers

Answer:

3 3/4 km = 1 hr

_______. ____

x 5

5 (3 3/4) = 18.75 km

Answer:

Explanation:

18.75 km

Mr.Plump lost 30 pounds from his original weight of 240 pounds. What percent weight loss did her achieve?

Answers

Answer:

12.5%

Step-by-step explanation:

I divided 30 (the amount he lost) by 240 (his original weight). I get 0.125, but need to move the decimal over 2 places to get the percentage.

12.5 because when you divide 30 by 240 you get 0.125 but all I had to do is move the decimals 2 spaces over and that would change the answer too 12.5

Find the length of the hypotenuse, side c, of a right triangle with legs of length a = 6 and b = 12.

Answers

Step-by-step explanation:

6²+12²

36 + 144 is 180

c=√180

The length of the hypotenuse is the square root of 180.

What is a length?

Length is defined as the measurement or extent of something from end to end.

Consider a right-angled triangle of two leg sides (a and b), and c is the third side (hypotenuse).

Given that a = 6 and b = 12,

The Pythagorean theorem states that

c^2 = a^2 + b^2

i.e. c^2 = 36 + 144

c^2 =180

Hence, the length of hypotenuse is square root of 180.

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Would I use subtraction for this problem ?

Answers

Answer:

Tim has 224 blue marbles.

Step-by-step explanation:

32 × 7 = 224

He has 7 times as many as Malanie (32)

I hope this helps!!!!

y= -4x - 7

Please help

Answers

y = -7

Explanation:
Substitute x for 0 to find the y-intercept.
y = -4(0)-7
y = -7

Answer:

- 4x-7: m=-4

Axis interception points of - 4x - 7 intercepts: (-7/4, 0), Y intercepts: (0, - 7)

Mr. Bailey announced the grade distribution for
his science fair projects. Of the 36 students in the
class, 12 earned A's, 18 earned B's, and 6 earned
C's. If Mr. Bailey were to randomly select one of
his students to talk about their project, what is the
probability that the student chosen had earned an
A on their science fair project?

Answers

Answer:

12/36

Step-by-step explanation:

Cuz 12 earned A's so it's 12/, then there are 36 choices so it would be 12/36.

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