The graph of the function f(x) = x^2 will be shifted 2 units up, 1 unit left, and rotated 180 degrees. What is the resulting function g(x)?

Answers

Answer 1

Answer:

g(x) = - (x+1)^2 +2

Step-by-step explanation:

1. Shifting up 2 units is y = x^2 + 2

2. Shifting to the left is y = (x + 1)^2

3. Rotating 180 degrees is just flipping the x-axis which means the whole equation becomes negative, y = -x^2

4. Therefore if you add it all up it becomes y = - (x+1)^2 +2


Related Questions

Hi! please help me out its due very sooon :((

Answers

Answer:

y= 1/3x -6

Step-by-step explanation:

you just have to plug the given values into the slope intercept formula:

y = mx +b

where M is the slope and B is the y-intercept

Answer:

y = 1/3x - 6

Step-by-step explanation:

LC) Simply -3 over 2 ÷ 9 over 6 ​

Answers

Step-by-step explanation:

-3^2 / 9^6

-3^2 / 3^2

(9 divided by 3 = 3 and 6 divided by 3 = 2)

It would now be -1 because a negative divided by a positive gives a negative.

What is the solution to this system of equations?

10x-y=53
-13xt92
y=-----------------
2

Answers

Answer:

x = 6, y = -113

Step-by-step explanation:

10x - y = 53 --- Equation 1

y = [tex]\frac{-13x+92}{2}[/tex] --- Equation 2

I will be using the substitution method.

Substitute y = [tex]\frac{-13x+92}{2}[/tex] into Equation 1:

10x - y = 53

10x - ([tex]\frac{-13x+92}{2}[/tex]) = 53

I want to make the denominators on the left side of the equation the same, so I will multiply 10x by 2 so that I can get a fraction.

[tex]\frac{20x}{2}[/tex] - ([tex]\frac{-13x+92}{2}[/tex]) = 53

Now that their denominators are both 2, I can combine the numerators under the same denominator.

[tex]\frac{20x-(-13x+92)}{2}[/tex] = 53

Two minuses, one outside a bracket and one inside makes a plus. One plus and one minus make a minus.

[tex]\frac{20x+13x-92}{2}[/tex] = 53

Evaluate like terms.

[tex]\frac{33x-92}{2}[/tex] = 53

Shift the (÷2) over to the right side and turn into (×2).

33x - 92 = 53 × 2

               = 106

Shift the (-92) over to the right side and turn into (+92).

33x = 106 + 92

      = 198

Find x.

x = 198 ÷ 33

x = 6

Substitute x = 6 into Equation 1:

10x - y = 53

10(-6) - y = 53

Evaluate.

-60 - y = 53

Shift the (-60) over to the right side and turn into (+60).

-y = 53 + 60

   = 113

Find y.

y = -113

A function is shown on the graph what is the domain of the function?

Answers

Answer:

you need to add the graph

Answer:

no graf

Step-by-step explanation:

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What value of x makes the modeled equation true?

Answers

Answer:

1

Step-by-step explanation:

need help asap this is due in 20 min!!! i will gove brainliest too! questions 8-11

Answers

8. x= 7

9. x= 9

10. x= -10

11. x= -18

PLEASE HELP
Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why AHIJE AKLM?
Check all that apply.
А. НА
B. ASA
C. AAS
D. LL
E. HL
F. LA

Answers

Answer:

Option A and Option C

Step-by-step explanation:

Given:

IJ ≅ LM

∠J ≅ ∠M

To Prove:

ΔHIJ ≅ ΔKLM

              Statements                           Reasons

1). IJ ≅ LM                               1). Given

2). ∠J = m∠M                          2). Given

3). ΔHIJ ≅ ΔKLM                    3). By HA property Or AAS property of

                                                    congruence

Therefore, Option A and Option C are the correct options.

What is -2-(-7)

Plssssss explain

Answers

Answer:

5

Step-by-step explanation:

Showing the work:

= -2-(-7)

= -2--7

= -2+7

= 5

Answer:

5

Step-by-step explanation:

the answer is up at the top

What does the point of intersection of the graph tell you? Enter your answers in the boxes.

On day _____,both girls should be on page______.
.

Answers

Answer:

On day 26, both girls should be on page 60.

Step-by-step explanation:

27. Which is larger?
A. 3/4c
B. 2/3c

Answers

Answer:

3/4c so it has to be A im sure .

3/4 and 2/3 and pretty close to being equal but since 3/4 is higher number then 3/4 would be larger

answer is: A

I’ll mark youyou brainlist

Answers

It’s 148 cuz of linear pair.

Answer:

148 degrees

Step-by-step explanation:

a straight line is 180 degrees so subtract 180 - 32 = 148

So how do i do like Rule: y=x+3 and the boxes are like X Y ? 4 ? 8 ? 5 like how

Answers

Answer:

X: 1  5  2

Y: 4  8  5

Step-by-step explanation:

Given

[tex]Rule: y = x + 3[/tex]

X: ?  ?  ?

Y: 4  8  5

Required

Fill in the ?'s

We have that:

[tex]y = x + 3[/tex]

When y = 4; the rule becomes

[tex]4 = x + 3[/tex]

Subtract 3 from both sides

[tex]1 =x[/tex]

[tex]x =1[/tex]

When y = 8; the rule becomes

[tex]8 = x + 3[/tex]

Subtract 3 from both sides

[tex]5= x[/tex]

[tex]x =5[/tex]

When y = 5; the rule becomes

[tex]5 = x + 3[/tex]

Subtract 3 from both sides

[tex]2 = x[/tex]

[tex]x = 2[/tex]

So, the complete table is:

X: 1  5  2

Y: 4  8  5

Please help me answer this

Answers

Answer: y = x - 5

Step-by-step explanation: hope this helps! :)

A train first travels east for 20 kilometers. Then it turns north and travels for 43 kilometers. Next it goes west for 20 kilometers. Finally, it travels south for an unknown number of kilometers. At the end of the journey, the train is back at the original location. How far did it travel southward?

Answers

Answer: the train traveled 43km southwards

Step-by-step explanation:

First, let's define.

North as the positive y-axis.

East as the positive x-axis.

And the initial position of the train is (0, 0).

Now, we know that:

"A train first travels east for 20 kilometers."

The new position will be:

(0, 0) + (20km, 0) = (20km , 0)

"Then it turns north and travels for 43 kilometers."

The new position will be:

(20km, 0) + (0, 43km) = (20km, 43km)

"Next it goes west for 20 kilometers."

If East if the positive x-axis, then West is the negative x-axis.

The new position of the train will be:

(20km, 43km) + (-20km, 0) = (0, 43km)

Then it travels south for an unknown number of kilometers, such that the final position is the same as the initial position, then if the train goes X kilometers to the south (and because North is the positive y-axis, South will be the negative y-axis), we have:

(0, 43km) + (0, -X) = (0, 0)

(0, 43km - X) = (0, 0)

Then we must have that:

43km - X = 0

43km = X

This means that the train traveled 43km southwards.

will mark brainliest for correct answer

Answers

Answer:

Y

Step-by-step explanation:

Look at Y and look at the input and output it shows which one is it and how to find it you welcome :)

answer correctly please please please for BL

Answers

Answer:

its 12

Step-by-step explanation:

plz mark as brainliest

You opened a bank account at the beginning of the month and have added the same amount of money each day. On the 5th day, you have $80. On the 21st day, you have $160. How much did you originally open the account with? How much are you putting in the account each day? How much will you have on the 30th day of the month?

Answers

We are given:

Money on the fifth day (a₅) = $80

Money on day 21 (a₂₁) = $160

To Find:

Money in the bank on the first day (a₁) = ?

Money being added to the account per day (d) = ?

Money in the bank on day 30 (a₃₀) = ?

__________________________________________________________

Finding the money on day one and the money added:

Solving for equations

Since we are adding a constant amount to our account every day, the amount of money in the bank can be represented by an AP

We know that the formula for the nth term of an AP is:

aₙ = a₁ + (n-1)d

So, we can write the amount of money on day 5 as:

a₅ = a₁ + (5-1)d

a₅ = a₁ + 4d

80 = a₁+  4d                        [We are given that a₅ = 80]

We are also given the amount of money on day 21:

a₂₁ = $160

Money on day 21 can be rewritten as:

a₂₁ = a₁ + (21-1)d

160 = a₁ + 20d                  [Since a₂₁ = 160]

Solving the equations:

Now we have 2 equations. We will now solve them to get the values of a₁ and d

160 = a₁ + 20d ----------------------(1)

80 = a₁ + 4d--------------------------(2)

From equation (2), we can say that:

a₁ = 80 - 4d              [subtracting 4d from both sides]

Now, we will use this value of a₁ in the equation (1):

160 = a₁ + 20d

160 = (80-4d) + 20d

160 = 80 + 16d

80 = 16d             [subtracting 80 from both sides]

d = 5                   [dividing both sides by 16]

Now that we know the value of d, we can use it in any of the 2 equations:

80 = a₁ + 4d

80 = a₁ + 4(5)              [since d=5]

80 = a₁ + 20

a₁ = 60                        [subtracting 20 from both sides]

Now, we know the values of the initial amount of money and the money added to the account everyday

Initial money in the bank = $60

Money added everyday = $5

__________________________________________________________

Money in day 30:

We will use the AP formula to find the value of money on day 30

a₃₀ = a₁ + (30-1)d

We know that a₁ = $60 , d = $5

a₃₀ = 60 + 29(5)

a₃₀ = 60 + 145

a₃₀ = $205

Money on day 30 = $205

Answer:

started with $55

adds $5 each day

$205 on the 30th day

Step-by-step explanation:

21-5 = 16

160-80 = 80

80 divided by 16 = 5

5 * 5 = 25

80 - 25 = 55

9 * 5 = 45

160 + 45 = 205

using y=mx+b find the slope for
7) 8x + 3y = −9

Answers

Answer:

-8/3

Step-by-step explanation:

8x + 3y = - 9

Let's make y the subject of the formula.

y = - 9/3 - 8x/3

Rearrange

y = - 8x/3 - 3

The slope is the coefficient of x which is - 8/3

If you don't understand, please leave a comment

Please gimme brainliest

In a cookie recipe I need 2 cups of flour for every 3/4 cup of sugar. How much flower do I need for 1 cup of sugar (unit rate)

Answers

Answer:2 2/3

Step-by-step explanation:

Do these side lengths make a right triangle? 7, 13, and 218√

Answers

Am not sure but maybe no because i learned it 2 month ago

Answer:

no what you mean by 218√

Step-by-step explanation:

there has to be a 90 degree angle for it to be a right triangle

ABCD is a kite with AB≈BC.

Answers

Answer:

Line BD⊥ Line AC

ΔDMC ≅ ΔDMA

If a ladder is to be placed 3 feet from the side of a house. If top of the ladder rests exactly on the edge of the house when it is placed at an angle of 72 degrees from the ground, how long is the ladder to the nearest foot?

Answers

Answer:

7 feet long

Step-by-step explanation:

This set up will give a right angle triangle where;

Length of the ladder is the hypotenuse = x

The distance of the ladder to the house is the adjacent = 3 feet

Angle of elevation theta = 72 degrees

Using the CAH in trigonometry identity;

cos theta = adjacent/hypotenuse

cos 72 = 3/hyp

hyp = 3/cos72

hyp = 3/0.4258

hyp = 7.05 feet

Hence the ladder is approximately 7 feet long

If there are 7 basketballs for every 3 students at Tuckahoe, then how many students are there if the store room has 49 basketballs?

Answers

Answer:

21 Students

Step-by-step explanation:

7:3

7*7=49

3*7=21

49:21

There are 21 students as 7 times 3 is 21 for the ratio of 7basketbas for every 3 students

Find the measure of angle A (please help!!!)

Answers

Answer: 41 degrees

Step-by-step explanation:

so, we know that a triangle is 180 degrees. since we know that one angle is 80 degrees, we can subtract that from the equation. now, we are trying to find what X is so that we can find the angle. here is how i did it:

i rewrote it and removed the parentheses.

4x + 1 + 4x + 19 = 100

then, i collected like terms and calculated it.

8x + 20 = 100

then, i moved the constant to the right.

8x = 100 - 20

then, i simply calculated it.

8x = 10

solution: x = 10

so, we just insert X into the angle for A. that gets us 4(10) + 1 = angle A

40 + 1 = angle A, hence angle A = 41 degrees.

Consider this equation.

7.8 + 2(0.75m + 0.4) = -6.4m + 4(0.5m - 0.8)


Mia solved the equation and determined that m = 2. Is she correct?
She is incorrect because when substituting 2 for m the result was a true statement.
She is incorrect because when substituting 2 for m the result was a false statement.
She is correct because when substituting 2 for m the result was a true statement.
She is correct because when substituting 2 for m the result was a false statement.

Answers

Answer:

B .  She is incorrect because when substituting 2 for m the result was a false statement.

Step-by-step explanation:

Edge. 2020

Answer:

B

Step-by-step explanation:

Which scenario could be represented by this graph?

Answers

Answer:

its is (b) turns the oven on

Answer:

D

Step-by-step explanation:

I did the test

Jody bought some scarves that cost $8
each. She spent a total of $40. How
many scarves did she buy?

Answers

Answer:

5 scarves

Step-by-step explanation:

8x5=40

She spent $40 so divide it by the cost of each which is $8 and in total she bought 5 scarves

The of an equation is formed by all the points in e plane that makes it true

Answers

Answer:

Graph

Step-by-step explanation:

Answer:

can u inlcieh a pic

Step-by-step explanation:

URGENT!!! PLS HELP!!!!!!!!

Answers

1. 0 and 2 2. 2 and 7 3. 3 and 0 and -3

PLEASE ANSWER ASAP!!! 45 POINTS!

Answers

Answer:

x =2 [tex]\\\sqrt{24[/tex]

Step-by-step explanation:

a2+b2=c2

(10*10)+(8*8)=x

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