Which equation for g(x) represents the transformation of f(x) given that f(x) =x^2
g(x) = f(x) shifted right 2 units
Help!!

Answers

Answer 1

Answer:

g(x) = (x - 2)²

Step-by-step explanation:

If we want to shift a function to the right, we subtract the number we are asked to move to the right inside the function's argument:

⇒ To shift f(x) b units to right → f(x - b)

Similarly, in function notation, if we want to shift a function to the left, we add the number we are asked to move to the left inside the function's argument:

⇒ To shift f(x) b units to left → f(x + b)

Given function f(x) = x²

Shift 2 units to the right:  f(x - 2) = (x - 2)²

Therefore, g(x) = (x - 2)²

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

Additional info:

g(x) = (x - 2)²

      = (x - 2)(x - 2)

      = x² - 4x + 4


Related Questions

Find the distance between the two points in simplest radical form.
(-5,8) and (-3,1)

Answers

Answer:

√ 53

Step-by-step explanation:

Answer:

Step-by-step explanation:

GIVING BRAINLIEST!!!!!!
SOLVE FAST

Answers

Answer:

Step-by-step explanation:

a(x) = 3x + 2

-3,0,5,6

a(-3) = 3*(-3) + 2

a(-3) = - 9 +2

a(-3) = - 7

===============

a(0) = 3*0 + 2

a(0) = 2

================

a(5) = 3*5 + 2

a(5) = 15 + 2

a(5) = 17

================

a(6) = 3*6 + 2

a(6) = 18 + 2

a(6) = 20

Janae needs to solve the equation 3x + 5/16 = 3/4 - 1/8x - 1/2. What is an advantage of using the multiplication property of equality before combining like terms using other properties? In your explanation, tell the value by which you would multiply both sides.

Answers

Answer:

Step-by-step explanation:

Given the expression 3x + 5/16 = 3/4 - 1/8x - 1/2

First we need to use the multiplication prope-rty before combining the like terms. The importance of this is to covent all fraction's to whole numbers.

Multiply through by 16

48x+5= 12-2x-8

Next is to collect the like terms

48x+2x = -8+12-5

50x = -1

Divide both sides by 50

50x/50 = -1/50

x = -1/50

The value used to multiply both sides is 16 and the value of x is -1/50

Please look at the image.

Answers

Answer:

It is the first option

Step-by-step explanation:

hope this helps you

Ted determined that the length of the diagonal of his square-shaped lawn was start root 83 end root feet. Which is closest to the length in feet of the diagonal of Ted's lawn?
A8
B.9
C.41
D.166

Answers

Answer:

166

Step-by-step explanation:

Just Add 83+83=166

How do I solve this!

Answers

Answer:

45

Step-by-step explanation:

7 x 9 = 63

So, you would multiply 5 by 9 too:

5 x 9 = 45

Hope this helps!

45 because 7X9=45 and 5X9=45


What is the value of the product (3 – 2i)(3 + 2i)?
5
9 + 4i
09 - 4i
0 13

Answers

Answer:

13

Step-by-step explanation:

(3-2i)(3+2i)

3×3+3(2i)-2i×3-2i(2i)

13

Hope this helps! :)

Answer: 13

Step-by-step explanation:

got it right

The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas. Write the ratios as fractions in simplest form.

Answers

Answer:

is there an example? or picture?

what is the distance of LM

Answers

Answer

(-4,3)

Step-by-step explanation:

find the distance traveled in 15 seconds by an object moving with a velocity of v(t)= 20 + 3t feet per second where t is the time in seconds.

Answers

Answer:

4 because you divide 3 and 15 by three which gives you 5 then divide 20 by that gives you 4

If M is the midpoint of segment AB, and AM = x+3 and AB = 3x-4, determine the length of segment AB.

Answers

Answer:

AB=2AM

3x-4=2(x+3)

3x-4=2x+6

3x-2x=4+6

x=10

So length AB 3x-4=3(10)-4

30-4=26

The length of AB is 26 units.

What is a line segment ?

A line segment is denoted by two endpoints.

According to the given question M is the midpoint of segment AB.

Given, AM = x + 3 and AB = 3x - 4.

As AM is the midpoint if we take twice of AM that will be equal to AB.

∴ 2(AM) = AB

2(x+3) = 3x - 4.

2x + 6 = 3x - 4.

2x - 3x = -4 - 6.

-x = - 10.

x = 10.

So the length of the line segment AB will be (3x - 4) = 3(10) - 4 units.

= 30 - 4

= 26 units.

learn more about line segment here ;

https://brainly.com/question/25727583

#SPJ2

The measure of the supplement of an angle is three times the measure of the
angle.
Find the measures of the angle and its supplement.

Answers

Answer:

x=45degrees

Step-by-step explanation:

Let the angle to be solved be x

Let the supplement/compliment by y

x+y=90 Complimentary angles add up to 90 degrees.

x+3y=180 Supplementary angles add up to 180 degrees, the other angle is thrice the other compliment.

Evaluating this as a system:

x+y=90 Isolate x:

x=90−y Input into the other equation:

(90−y)+3y=180 Combine like terms, isolate y and its coefficients:

2y=90 Isolate y

y=45 Input into the first equation:

x+45=90 Isolate x:

x=45degrees

Sammy bought 15.3 Liters of milk. She poured the milk equally into 5 bottles. There was 0.35 liters of milk left over. Calculate the capacity of milk in 1 bottle.


please show work.

Answers

Answer:

The capacity of milk in 1 bottle is 2.99 liters

Step-by-step explanation:

Let us solve the question

∵ Sammy bought 15.3 liters of milk

∵ She poured the milk equally into 5 bottles

∵ There were 0.35 liters of milk leftover

→ At first, subtract the leftover from the quantity she bought to

   find the capacity of the five bottles

∴ The capacity of the 5 bottles = 15.3 - 0.35

∴ The capacity of the 5 bottles = 14.95 liters

→ To find the capacity of each bottle divide the total capacity by 5

∴ The capacity in one bottle = 14.95 ÷ 5

∴ The capacity in one bottle = 2.99 liters

The capacity of milk in 1 bottle is 2.99 liters

Sorry, but I also need help on this

Answers

I believe it’s A. -14 +(-6)

What is 2.8 divides by 0.4? Please Show your work.

Answers

It is 7 no work to show it’s easy
the answer is 7, work shown here

Plz, help me!!!
Write each interval as an inequality. Then graph the solutions. (–∞,5)

Answers

The interval notation given to us means that x is between negative infinity and 5, excluding both endpoints.

So we can write [tex]-\infty < x < 5[/tex] which shortens to [tex]x < 5[/tex]

The graph will have an open hole at 5 on the number line, and shading to the left to indicate all points smaller than 5.

-23 = 13w + 2w + 22

w =

Answers

Answer:

w=-3

Step-by-step explanation:

−60 = −0.8k
What does K answer?

PLA ANSWER

Answers

Answer:

75 = k

Step-by-step explanation:

−60 = −0.8k

Divide each side by -.8

−60/-.8 = −0.8k/-.8

75 = k

Find the result when 85 is increased by 20%.

Answers

Answer:

102

Step-by-step explanation:

20% of 85 is 17.

85+17 = 102

hope this helps! :)

Answer:

102

Step-by-step explanation:

To find the new amount, multiply 85 by 1.2

85(1.2)

= 102

So, when 85 is increased by 20%, the result is 102.

Combine Like Terms


9x + 5 – 6 – 8x + 2




-6s + 7 + 10x – 5

Distribute


-5(2x + 7)




4(-3x + 6)




Equations: Solve for the variable (show all work – circle answer)




2y = -8






x7

= 6








2x – 6 = 10

Answers

Answer:

9x+5-6-8x+2

=(9x-8x)+(5-6+2)

=(x)+(+1)

=x+1

2) A square and a rectangle have the same perimeter. The square has a side length of 6 x units. The
rectangle has a length of (5x + 8) and a width of 6 units. For what value of x, will the square and
rectangle have the same perimeter?
30x usb
a. 2
30 x 54 = 30x 54
b. 4
C. 5
d. 3

Answers

Answer:

The value of X should be 8

Diego pays $4.50 for 3 pounds of bananas and 2 pounds of oranges. one pound of oranges cost $0.75 more than one pound of bananas let b represent the price per pound of bananas. Which equation represents the situation, and what is the price per pound of each fruit? 3b + 2b = 4.50; $0.90 per bananas, $0.90 per pound of oranges 3b + 2(0.75) = 4.50; $1.00 per bananas, $1.75 per pound of oranges 3b + 2(b + 0.75) = 4.50; $0.60 per bananas, $1.35 per pound of oranges 3b + 2b = 4.50; $1.35 per bananas, $0.60 per pound of oranges

Answers

Given:

Diego pays $4.50 for 3 pounds of bananas and 2 pounds of oranges.

One pound of oranges cost $0.75 more than one pound of bananas.

To find:

The equation which represents the situation, and what is the price per pound of each fruit.

Solution:

Let b represent the price per pound of bananas.

Cost of 3 pound of banana = $3b

One pound of oranges cost $0.75 more than one pound of bananas.

So, cost of one pound of oranges = $(b+0.75)

Cost of 2 pound of oranges = $2(b+0.75)

Diego pays $4.50 for 3 pounds of bananas and 2 pounds of oranges.

[tex]3b+2(b+0.75)=4.50[/tex]

Therefore, the required equation is [tex]3b+2(b+0.75)=4.50[/tex].

On solving the above equation, we get

[tex]3b+2b+1.50=4.50[/tex]

[tex]5b=4.50-1.50[/tex]

[tex]5b=3[/tex]

Divide both sides by 5.

[tex]b=\dfrac{3}{5}[/tex]

[tex]b=0.60[/tex]

Now,

[tex]b+0.75=0.60+0.75=1.35[/tex]

Therefore, the price of fruits are $0.60 per bananas, $1.35 per pound of oranges.

Hence, the correct option is C.

6+3{[4-2(4-7)]}=
I need answer this whit steps.

pls.

Answers

Step-by-step explanation:

6+3((4-2(4-7))

1. 6+3((2(4-7))

2. 6+3((2(*-3)

3. 6+3(-6)

4. 6+(3*-6)

5. 6+-18

6. -12

HELP!!!

Your health insurance premium is $225 monthly. Your deductible is $2000, how much will your health insurance premium and deductible cost you annually?

A. $2700
B. $4700
C.$5500
D.$2000

Answers

The answer is B., $4700

PLEASE HELP,I AM BEING TIMED!!
Measure the angle of 6

Options: 100
120
30
60

Answers

30 degrees

Measure of the angle of 6 is 30 degrees

Answer:

30 degrees

Step-by-step explanation:

because 60 degrees is already there and 120 is angled the opposite way, and 100 degrees is a little farther than 90.

the difference of three times a number x and 4

Answers

Answer:

3x - 4

Step-by-step explanation:

Difference means subtraction.

Times means multiplication.

Three times a number x; 3 * x = 3x

3x - 4

Best of Luck!

It's not mentioned exactly what we have to do but can be predicted that we have to frame equation on the basis of the given data.

Given, the number to be considered is x

Three times x = 3x4 is subtracted = -4

The required equation will be:

➝ 3x - 4

And this is only our final answer. And we are done !

Carry On Learning [tex]![/tex]

1. What's the name of the line segment in the diagram below?
U
O A. UT
O B. TU
O c.T

O D. fŮ​

Answers

Answer:

C

Step-by-step explanation:

The y-intercept is...

Answers

Hey love, if the question itself is what the y-intercept stands for then it's the point when the line passes the y axis. if that wasn't your question give me some more context and i'll try my best to help!

A line that crosses the y-axis on the graph
I hope this helped

PLEASE HELP! I WILL MAKE YOU BRAINLIST!

Answers

Answer: A.

Step-by-step explanation: yes

Which of the following decimals would round to 6.6? *

6.723
6.526
6.57
6.49

Answers

6.57 would round up to 6.6

Answer:

6.57

Step-by-step explanation:

if if you round 6.57 up in the tens place you will get 6.6

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